131153704920 has 768 divisors, whose sum is σ = 512394854400. Its totient is φ = 28478960640.

The previous prime is 131153704897. The next prime is 131153704933. The reversal of 131153704920 is 29407351131.

131153704920 is a `hidden beast` number, since 1 + 31 + 1 + 537 + 0 + 4 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1001173255 + ... + 1001173385.

It is an arithmetic number, because the mean of its divisors is an integer number (667180800).

Almost surely, 2^131153704920 is an apocalyptic number.

131153704920 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 131153704920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256197427200).

131153704920 is an abundant number, since it is smaller than the sum of its proper divisors (381241149480).

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

131153704920 is a wasteful number, since it uses less digits than its factorization.

131153704920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 131153704920 in words is "one hundred thirty-one billion, one hundred fifty-three million, seven hundred four thousand, nine hundred twenty".