131197824 has 96 divisors (see below), whose sum is σ = 383930040. Its totient is φ = 42992640.

The previous prime is 131197817. The next prime is 131197849. The reversal of 131197824 is 428791131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 69339 + ... + 71205.

Almost surely, 2^131197824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191965020).

131197824 is an abundant number, since it is smaller than the sum of its proper divisors (252732216).

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

131197824 is a wasteful number, since it uses less digits than its factorization.

131197824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1933 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 131197824 is about 11454.1618637070. The cubic root of 131197824 is about 508.1308278994.

The spelling of 131197824 in words is "one hundred thirty-one million, one hundred ninety-seven thousand, eight hundred twenty-four".