131473920 has 320 divisors, whose sum is σ = 477290880. Its totient is φ = 30670848.

The previous prime is 131473879. The next prime is 131473931. The reversal of 131473920 is 29374131.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a nialpdrome in base 8.

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, 2480614 + ... + 2480666.

It is an arithmetic number, because the mean of its divisors is an integer number (1491534).

Almost surely, 2^131473920 is an apocalyptic number.

131473920 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 131473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238645440).

131473920 is an abundant number, since it is smaller than the sum of its proper divisors (345816960).

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

131473920 is a wasteful number, since it uses less digits than its factorization.

131473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 131473920 is about 11466.2077427544. The cubic root of 131473920 is about 508.4870192541.

The spelling of 131473920 in words is "one hundred thirty-one million, four hundred seventy-three thousand, nine hundred twenty".