131539128 has 192 divisors, whose sum is σ = 418080000. Its totient is φ = 34376832.

The previous prime is 131539123. The next prime is 131539141. The reversal of 131539128 is 821935131.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (6480) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131539123) 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, 4535818 + ... + 4535846.

It is an arithmetic number, because the mean of its divisors is an integer number (2177500).

Almost surely, 2^131539128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131539128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209040000).

131539128 is an abundant number, since it is smaller than the sum of its proper divisors (286540872).

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

131539128 is a wasteful number, since it uses less digits than its factorization.

131539128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 131539128 is about 11469.0508761623. The cubic root of 131539128 is about 508.5710712630.

The spelling of 131539128 in words is "one hundred thirty-one million, five hundred thirty-nine thousand, one hundred twenty-eight".