137661000 has 64 divisors (see below), whose sum is σ = 429511680. Its totient is φ = 36708800.

The previous prime is 137660993. The next prime is 137661011. The reversal of 137661000 is 166731.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19944 + ... + 25943.

It is an arithmetic number, because the mean of its divisors is an integer number (6711120).

Almost surely, 2^137661000 is an apocalyptic number.

137661000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137661000 is an abundant number, since it is smaller than the sum of its proper divisors (291850680).

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

137661000 is a wasteful number, since it uses less digits than its factorization.

137661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45911 (or 45897 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 137661000 is about 11732.9024542097. The cubic root of 137661000 is about 516.3414301809.

The spelling of 137661000 in words is "one hundred thirty-seven million, six hundred sixty-one thousand".