131537387520 has 1080 divisors, whose sum is σ = 580397414688. Its totient is φ = 27249868800.

The previous prime is 131537387519. The next prime is 131537387537. The reversal of 131537387520 is 25783735131.

131537387520 is a `hidden beast` number, since 1 + 3 + 1 + 53 + 73 + 8 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397393755 + ... + 397394085.

Almost surely, 2^131537387520 is an apocalyptic number.

131537387520 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 131537387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290198707344).

131537387520 is an abundant number, since it is smaller than the sum of its proper divisors (448860027168).

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

131537387520 is a wasteful number, since it uses less digits than its factorization.

131537387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 131537387520 in words is "one hundred thirty-one billion, five hundred thirty-seven million, three hundred eighty-seven thousand, five hundred twenty".