137420800 has 168 divisors, whose sum is σ = 377857512. Its totient is φ = 49152000.

The previous prime is 137420797. The next prime is 137420813. The reversal of 137420800 is 8024731.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252770 + ... + 2252830.

Almost surely, 2^137420800 is an apocalyptic number.

137420800 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 137420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188928756).

137420800 is an abundant number, since it is smaller than the sum of its proper divisors (240436712).

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

137420800 is an equidigital number, since it uses as much as digits as its factorization.

137420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 137420800 is about 11722.6618137691. The cubic root of 137420800 is about 516.0409398040.

The spelling of 137420800 in words is "one hundred thirty-seven million, four hundred twenty thousand, eight hundred".