33152137920 has 896 divisors, whose sum is σ = 137467238400. Its totient is φ = 7457587200.

The previous prime is 33152137913. The next prime is 33152137987. The reversal of 33152137920 is 2973125133.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466931485 + ... + 466931555.

Almost surely, 2^33152137920 is an apocalyptic number.

33152137920 is a gapful number since it is divisible by the number (30) 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 33152137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68733619200).

33152137920 is an abundant number, since it is smaller than the sum of its proper divisors (104315100480).

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

33152137920 is a wasteful number, since it uses less digits than its factorization.

33152137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 33152137920 in words is "thirty-three billion, one hundred fifty-two million, one hundred thirty-seven thousand, nine hundred twenty".