131503968 has 36 divisors (see below), whose sum is σ = 373965228. Its totient is φ = 43834560.

The previous prime is 131503943. The next prime is 131503969. The reversal of 131503968 is 869305131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×131503968³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131503969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228018 + ... + 228593.

It is an arithmetic number, because the mean of its divisors is an integer number (10387923).

Almost surely, 2^131503968 is an apocalyptic number.

131503968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131503968 is an abundant number, since it is smaller than the sum of its proper divisors (242461260).

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

131503968 is a wasteful number, since it uses less digits than its factorization.

131503968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456627 (or 456616 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 131503968 is about 11467.5179528963. The cubic root of 131503968 is about 508.5257540696.

The spelling of 131503968 in words is "one hundred thirty-one million, five hundred three thousand, nine hundred sixty-eight".