131978880 has 192 divisors, whose sum is σ = 497409120. Its totient is φ = 31979520.

The previous prime is 131978863. The next prime is 131978953. The reversal of 131978880 is 88879131.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 62319 + ... + 64401.

Almost surely, 2^131978880 is an apocalyptic number.

131978880 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 131978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248704560).

131978880 is an abundant number, since it is smaller than the sum of its proper divisors (365430240).

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

131978880 is a wasteful number, since it uses less digits than its factorization.

131978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 131978880 is about 11488.2061262845. The cubic root of 131978880 is about 509.1371800862.

The spelling of 131978880 in words is "one hundred thirty-one million, nine hundred seventy-eight thousand, eight hundred eighty".