137060800 has 84 divisors (see below), whose sum is σ = 357164640. Its totient is φ = 51589120.

The previous prime is 137060767. The next prime is 137060831. The reversal of 137060800 is 8060731.

137060800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×137060800³ (a number of 25 digits) contains 333 as substring.

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, 24681 + ... + 29719.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^137060800 is an apocalyptic number.

137060800 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 137060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

137060800 is an abundant number, since it is smaller than the sum of its proper divisors (220103840).

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

137060800 is a wasteful number, since it uses less digits than its factorization.

137060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5063 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 137060800 is about 11707.2968699013. The cubic root of 137060800 is about 515.5899231725.

The spelling of 137060800 in words is "one hundred thirty-seven million, sixty thousand, eight hundred".