152133676038 has 128 divisors (see below), whose sum is σ = 361320537600. Its totient is φ = 47374782336.

The previous prime is 152133675989. The next prime is 152133676069. The reversal of 152133676038 is 830676331251.

152133676038 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 3 + 36 + 7 + 603 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 152133675984 and 152133676002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5053920 + ... + 5083932.

It is an arithmetic number, because the mean of its divisors is an integer number (2822816700).

Almost surely, 2^152133676038 is an apocalyptic number.

152133676038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152133676038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180660268800).

152133676038 is an abundant number, since it is smaller than the sum of its proper divisors (209186861562).

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

152133676038 is a wasteful number, since it uses less digits than its factorization.

152133676038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30163 (or 30157 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 152133676038 in words is "one hundred fifty-two billion, one hundred thirty-three million, six hundred seventy-six thousand, thirty-eight".