137828964 has 216 divisors, whose sum is σ = 432260640. Its totient is φ = 33965568.

The previous prime is 137828953. The next prime is 137828981. The reversal of 137828964 is 469828731.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1888032 + ... + 1888104.

Almost surely, 2^137828964 is an apocalyptic number.

137828964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137828964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216130320).

137828964 is an abundant number, since it is smaller than the sum of its proper divisors (294431676).

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

137828964 is a wasteful number, since it uses less digits than its factorization.

137828964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 137828964 is about 11740.0580918495. The cubic root of 137828964 is about 516.5513456576.

The spelling of 137828964 in words is "one hundred thirty-seven million, eight hundred twenty-eight thousand, nine hundred sixty-four".