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131974144 = 2103592
BaseRepresentation
bin1111101110111…
…00010000000000
3100012022222111021
413313130100000
5232241133034
621032355224
73161522161
oct767342000
9305288437
10131974144
1168550145
1238245b14
132145a213
1413755768
15b8bd6b4
hex7ddc400

131974144 has 33 divisors (see below), whose sum is σ = 264556327. Its totient is φ = 65803264.

The previous prime is 131974123. The next prime is 131974177. The reversal of 131974144 is 441479131.

It is a happy number.

The square root of 131974144 is 11488.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 367437 + ... + 367795.

Almost surely, 2131974144 is an apocalyptic number.

131974144 is the 11488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131974144

131974144 is an abundant number, since it is smaller than the sum of its proper divisors (132582183).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131974144 is an frugal number, since it uses more digits than its factorization.

131974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 361 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The cubic root of 131974144 is about 509.1310899640.

The spelling of 131974144 in words is "one hundred thirty-one million, nine hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 359 512 718 1024 1436 2872 5744 11488 22976 45952 91904 128881 183808 257762 367616 515524 1031048 2062096 4124192 8248384 16496768 32993536 65987072 131974144