152733081600 has 1344 divisors, whose sum is σ = 639676200960. Its totient is φ = 35831808000.

The previous prime is 152733081577. The next prime is 152733081601. The reversal of 152733081600 is 6180337251.

152733081600 is a `hidden beast` number, since 15 + 2 + 7 + 3 + 30 + 8 + 1 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152733081601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4926873585 + ... + 4926873615.

Almost surely, 2^152733081600 is an apocalyptic number.

152733081600 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 152733081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319838100480).

152733081600 is an abundant number, since it is smaller than the sum of its proper divisors (486943119360).

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

152733081600 is an frugal number, since it uses more digits than its factorization.

152733081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 152733081600 in words is "one hundred fifty-two billion, seven hundred thirty-three million, eighty-one thousand, six hundred".