137670400 has 162 divisors, whose sum is σ = 397292280. Its totient is φ = 47093760.

The previous prime is 137670367. The next prime is 137670427. The reversal of 137670400 is 4076731.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 313381 + ... + 313819.

Almost surely, 2^137670400 is an apocalyptic number.

137670400 is a gapful number since it is divisible by the number (10) 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 137670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198646140).

137670400 is an abundant number, since it is smaller than the sum of its proper divisors (259621880).

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

137670400 is an equidigital number, since it uses as much as digits as its factorization.

137670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 137670400 is about 11733.3030302639. The cubic root of 137670400 is about 516.3531824782.

The spelling of 137670400 in words is "one hundred thirty-seven million, six hundred seventy thousand, four hundred".