131738880 has 432 divisors, whose sum is σ = 538634880. Its totient is φ = 26836992.

The previous prime is 131738869. The next prime is 131738881. The reversal of 131738880 is 88837131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131738881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4542706 + ... + 4542734.

It is an arithmetic number, because the mean of its divisors is an integer number (1246840).

Almost surely, 2^131738880 is an apocalyptic number.

131738880 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 131738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269317440).

131738880 is an abundant number, since it is smaller than the sum of its proper divisors (406896000).

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

131738880 is a wasteful number, since it uses less digits than its factorization.

131738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 131738880 is about 11477.7558782194. The cubic root of 131738880 is about 508.8283754595.

The spelling of 131738880 in words is "one hundred thirty-one million, seven hundred thirty-eight thousand, eight hundred eighty".