33157005156 has 144 divisors (see below), whose sum is σ = 100046600640. Its totient is φ = 9456480000.

The previous prime is 33157005073. The next prime is 33157005157. The reversal of 33157005156 is 65150075133.

33157005156 is a `hidden beast` number, since 3 + 31 + 570 + 0 + 5 + 1 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33157005156.

It is not an unprimeable number, because it can be changed into a prime (33157005157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147531 + ... + 296781.

It is an arithmetic number, because the mean of its divisors is an integer number (694768060).

Almost surely, 2^33157005156 is an apocalyptic number.

33157005156 is a gapful number since it is divisible by the number (36) 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 33157005156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50023300320).

33157005156 is an abundant number, since it is smaller than the sum of its proper divisors (66889595484).

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

33157005156 is a wasteful number, since it uses less digits than its factorization.

33157005156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149303 (or 149284 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 33157005156 in words is "thirty-three billion, one hundred fifty-seven million, five thousand, one hundred fifty-six".