152456121600 has 432 divisors, whose sum is σ = 541990310400. Its totient is φ = 37615656960.

The previous prime is 152456121593. The next prime is 152456121721. The reversal of 152456121600 is 6121654251.

152456121600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 15681541 + ... + 15691259.

It is an arithmetic number, because the mean of its divisors is an integer number (1254607200).

Almost surely, 2^152456121600 is an apocalyptic number.

152456121600 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 152456121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270995155200).

152456121600 is an abundant number, since it is smaller than the sum of its proper divisors (389534188800).

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

152456121600 is a wasteful number, since it uses less digits than its factorization.

152456121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9810 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 152456121600 its reverse (6121654251), we get a palindrome (158577775851).

It can be divided in two parts, 1524561 and 21600, that added together give a triangular number (1546161 = T₁₇₅₈).

The spelling of 152456121600 in words is "one hundred fifty-two billion, four hundred fifty-six million, one hundred twenty-one thousand, six hundred".