137830464 has 168 divisors, whose sum is σ = 423732960. Its totient is φ = 43925760.

The previous prime is 137830463. The next prime is 137830487. The reversal of 137830464 is 464038731.

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

It is not an unprimeable number, because it can be changed into a prime (137830463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1660567 + ... + 1660649.

It is an arithmetic number, because the mean of its divisors is an integer number (2522220).

Almost surely, 2^137830464 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 137830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211866480).

137830464 is an abundant number, since it is smaller than the sum of its proper divisors (285902496).

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

137830464 is an equidigital number, since it uses as much as digits as its factorization.

137830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 137830464 is about 11740.1219755163. The cubic root of 137830464 is about 516.5532195361.

The spelling of 137830464 in words is "one hundred thirty-seven million, eight hundred thirty thousand, four hundred sixty-four".