131919480 has 192 divisors, whose sum is σ = 534643200. Its totient is φ = 27406080.

The previous prime is 131919409. The next prime is 131919499. The reversal of 131919480 is 84919131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25341 + ... + 30099.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^131919480 is an apocalyptic number.

131919480 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 131919480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

131919480 is an abundant number, since it is smaller than the sum of its proper divisors (402723720).

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

131919480 is a wasteful number, since it uses less digits than its factorization.

131919480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 131919480 is about 11485.6205753107. The cubic root of 131919480 is about 509.0607858258.

The spelling of 131919480 in words is "one hundred thirty-one million, nine hundred nineteen thousand, four hundred eighty".