37146980 has 24 divisors (see below), whose sum is σ = 84009912. Its totient is φ = 13715712.

The previous prime is 37146973. The next prime is 37147027. The reversal of 37146980 is 8964173.

It can be written as a sum of positive squares in 4 ways, for example, as 4153444 + 32993536 = 2038^2 + 5744^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71177 + ... + 71696.

It is an arithmetic number, because the mean of its divisors is an integer number (3500413).

Almost surely, 2^37146980 is an apocalyptic number.

It is an amenable number.

37146980 is an abundant number, since it is smaller than the sum of its proper divisors (46862932).

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

37146980 is a wasteful number, since it uses less digits than its factorization.

37146980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142895 (or 142893 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 37146980 is about 6094.8322372318. The cubic root of 37146980 is about 333.6628363981.

The spelling of 37146980 in words is "thirty-seven million, one hundred forty-six thousand, nine hundred eighty".