137461700 has 18 divisors (see below), whose sum is σ = 298292106. Its totient is φ = 54984640.

The previous prime is 137461693. The next prime is 137461703. The reversal of 137461700 is 7164731.

137461700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2483776 + 134977924 = 1576^2 + 11618^2 .

It is not an unprimeable number, because it can be changed into a prime (137461703) 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, 687209 + ... + 687408.

Almost surely, 2^137461700 is an apocalyptic number.

137461700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137461700 is an abundant number, since it is smaller than the sum of its proper divisors (160830406).

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

137461700 is a wasteful number, since it uses less digits than its factorization.

137461700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374631 (or 1374624 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 137461700 is about 11724.4061683311. The cubic root of 137461700 is about 516.0921304556.

The spelling of 137461700 in words is "one hundred thirty-seven million, four hundred sixty-one thousand, seven hundred".