82137400 has 24 divisors (see below), whose sum is σ = 190969920. Its totient is φ = 32854880.

The previous prime is 82137389. The next prime is 82137401. The reversal of 82137400 is 473128.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82137401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205144 + ... + 205543.

It is an arithmetic number, because the mean of its divisors is an integer number (7957080).

Almost surely, 2^82137400 is an apocalyptic number.

It is an amenable number.

82137400 is an abundant number, since it is smaller than the sum of its proper divisors (108832520).

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

82137400 is a wasteful number, since it uses less digits than its factorization.

82137400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410703 (or 410694 counting only the distinct ones).

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

The square root of 82137400 is about 9062.9686085741. The cubic root of 82137400 is about 434.6906683565.

The spelling of 82137400 in words is "eighty-two million, one hundred thirty-seven thousand, four hundred".