152675275200 has 1008 divisors, whose sum is σ = 620926758144. Its totient is φ = 32149094400.

The previous prime is 152675275171. The next prime is 152675275223. The reversal of 152675275200 is 2572576251.

It is a hoax number, since the sum of its digits (42) 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 (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, 497313447 + ... + 497313753.

It is an arithmetic number, because the mean of its divisors is an integer number (615998768).

Almost surely, 2^152675275200 is an apocalyptic number.

152675275200 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 152675275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310463379072).

152675275200 is an abundant number, since it is smaller than the sum of its proper divisors (468251482944).

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

152675275200 is a wasteful number, since it uses less digits than its factorization.

152675275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 152675275200 in words is "one hundred fifty-two billion, six hundred seventy-five million, two hundred seventy-five thousand, two hundred".