137820700 has 36 divisors (see below), whose sum is σ = 316667232. Its totient is φ = 51884800.

The previous prime is 137820691. The next prime is 137820701. The reversal of 137820700 is 7028731.

It is a happy number.

137820700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137820701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38836 + ... + 42235.

It is an arithmetic number, because the mean of its divisors is an integer number (8796312).

Almost surely, 2^137820700 is an apocalyptic number.

137820700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137820700 is an abundant number, since it is smaller than the sum of its proper divisors (178846532).

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

137820700 is a wasteful number, since it uses less digits than its factorization.

137820700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81102 (or 81095 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 137820700 is about 11739.7061292010. The cubic root of 137820700 is about 516.5410215924.

The spelling of 137820700 in words is "one hundred thirty-seven million, eight hundred twenty thousand, seven hundred".