152512118133120 has 384 divisors, whose sum is σ = 540014010775200. Its totient is φ = 39649157775360.

The previous prime is 152512118133097. The next prime is 152512118133131. The reversal of 152512118133120 is 21331811215251.

152512118133120 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 121 + 181 + 331 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 37783051 + ... + 41624309.

Almost surely, 2^{152512118133120} is an apocalyptic number.

152512118133120 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 152512118133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270007005387600).

152512118133120 is an abundant number, since it is smaller than the sum of its proper divisors (387501892642080).

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

152512118133120 is a wasteful number, since it uses less digits than its factorization.

152512118133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841458 (or 3841443 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Adding to 152512118133120 its reverse (21331811215251), we get a palindrome (173843929348371).

The spelling of 152512118133120 in words is "one hundred fifty-two trillion, five hundred twelve billion, one hundred eighteen million, one hundred thirty-three thousand, one hundred twenty".