37142496 has 48 divisors (see below), whose sum is σ = 108334800. Its totient is φ = 12380544.

The previous prime is 37142491. The next prime is 37142507. The reversal of 37142496 is 69424173.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×37142496² = 2759130018220032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 37142496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37142491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20631 + ... + 22358.

It is an arithmetic number, because the mean of its divisors is an integer number (2256975).

Almost surely, 2^37142496 is an apocalyptic number.

37142496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

37142496 is an abundant number, since it is smaller than the sum of its proper divisors (71192304).

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

37142496 is a wasteful number, since it uses less digits than its factorization.

37142496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43008 (or 42994 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 37142496 is about 6094.4643735114. The cubic root of 37142496 is about 333.6494104133.

The spelling of 37142496 in words is "thirty-seven million, one hundred forty-two thousand, four hundred ninety-six".