152516122387200 has 1080 divisors, whose sum is σ = 662509609389936. Its totient is φ = 34129465344000.

The previous prime is 152516122387183. The next prime is 152516122387243. The reversal of 152516122387200 is 2783221615251.

152516122387200 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 1 + 61 + 2 + 2 + 387 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×152516122387200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73102510 + ... + 75159890.

Almost surely, 2^{152516122387200} is an apocalyptic number.

152516122387200 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 152516122387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331254804694968).

152516122387200 is an abundant number, since it is smaller than the sum of its proper divisors (509993487002736).

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

152516122387200 is a wasteful number, since it uses less digits than its factorization.

152516122387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057443 (or 2057415 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 152516122387200 in words is "one hundred fifty-two trillion, five hundred sixteen billion, one hundred twenty-two million, three hundred eighty-seven thousand, two hundred".