152735881200 has 720 divisors, whose sum is σ = 615633882624. Its totient is φ = 32148480000.

The previous prime is 152735881189. The next prime is 152735881213. The reversal of 152735881200 is 2188537251.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46979575 + ... + 46982825.

Almost surely, 2^152735881200 is an apocalyptic number.

152735881200 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 152735881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307816941312).

152735881200 is an abundant number, since it is smaller than the sum of its proper divisors (462898001424).

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

152735881200 is a wasteful number, since it uses less digits than its factorization.

152735881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 152735881200 in words is "one hundred fifty-two billion, seven hundred thirty-five million, eight hundred eighty-one thousand, two hundred".