137412200 has 24 divisors (see below), whose sum is σ = 319483830. Its totient is φ = 54964800.

The previous prime is 137412151. The next prime is 137412211. The reversal of 137412200 is 2214731.

It can be written as a sum of positive squares in 3 ways, for example, as 105308644 + 32103556 = 10262^2 + 5666^2 .

It is a super-2 number, since 2×137412200² = 37764225417680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 343331 + ... + 343730.

Almost surely, 2^137412200 is an apocalyptic number.

137412200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137412200 is an abundant number, since it is smaller than the sum of its proper divisors (182071630).

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

137412200 is a wasteful number, since it uses less digits than its factorization.

137412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687077 (or 687068 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 137412200 is about 11722.2949971411. The cubic root of 137412200 is about 516.0301747072.

Adding to 137412200 its reverse (2214731), we get a palindrome (139626931).

The spelling of 137412200 in words is "one hundred thirty-seven million, four hundred twelve thousand, two hundred".