131926080 has 336 divisors, whose sum is σ = 508479552. Its totient is φ = 28569600.

The previous prime is 131926061. The next prime is 131926087. The reversal of 131926080 is 80629131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131926087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4255665 + ... + 4255695.

It is an arithmetic number, because the mean of its divisors is an integer number (1513332).

Almost surely, 2^131926080 is an apocalyptic number.

131926080 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 131926080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254239776).

131926080 is an abundant number, since it is smaller than the sum of its proper divisors (376553472).

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

131926080 is a wasteful number, since it uses less digits than its factorization.

131926080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 131926080 is about 11485.9078874941. The cubic root of 131926080 is about 509.0692752093.

The spelling of 131926080 in words is "one hundred thirty-one million, nine hundred twenty-six thousand, eighty".