131838876504 has 128 divisors (see below), whose sum is σ = 379659571200. Its totient is φ = 42345642240.

The previous prime is 131838876479. The next prime is 131838876539. The reversal of 131838876504 is 405678838131.

It is a happy number.

131838876504 is a `hidden beast` number, since 1 + 31 + 8 + 38 + 8 + 76 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1517917 + ... + 1602419.

It is an arithmetic number, because the mean of its divisors is an integer number (2966090400).

Almost surely, 2^131838876504 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 131838876504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189829785600).

131838876504 is an abundant number, since it is smaller than the sum of its proper divisors (247820694696).

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

131838876504 is a wasteful number, since it uses less digits than its factorization.

131838876504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84782 (or 84772 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 131838876504 in words is "one hundred thirty-one billion, eight hundred thirty-eight million, eight hundred seventy-six thousand, five hundred four".