134216248320 has 1232 divisors, whose sum is σ = 603123625728. Its totient is φ = 27829370880.

The previous prime is 134216248319. The next prime is 134216248333. The reversal of 134216248320 is 23842612431.

134216248320 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 1 + 624 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1232).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 287400727 + ... + 287401193.

Almost surely, 2^134216248320 is an apocalyptic number.

134216248320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134216248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301561812864).

134216248320 is an abundant number, since it is smaller than the sum of its proper divisors (468907377408).

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

134216248320 is an equidigital number, since it uses as much as digits as its factorization.

134216248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 134216248320 in words is "one hundred thirty-four billion, two hundred sixteen million, two hundred forty-eight thousand, three hundred twenty".