131261904 has 80 divisors (see below), whose sum is σ = 378368640. Its totient is φ = 43568640.

The previous prime is 131261887. The next prime is 131261939. The reversal of 131261904 is 409162131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133864 + ... + 134840.

It is an arithmetic number, because the mean of its divisors is an integer number (4729608).

Almost surely, 2^131261904 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 131261904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189184320).

131261904 is an abundant number, since it is smaller than the sum of its proper divisors (247106736).

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

131261904 is a wasteful number, since it uses less digits than its factorization.

131261904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 131261904 is about 11456.9587587632. The cubic root of 131261904 is about 508.2135419839.

The spelling of 131261904 in words is "one hundred thirty-one million, two hundred sixty-one thousand, nine hundred four".