137623680 has 96 divisors (see below), whose sum is σ = 475251660. Its totient is φ = 36698112.

The previous prime is 137623679. The next prime is 137623691. The reversal of 137623680 is 86326731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 133263936 + 4359744 = 11544^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6187 + ... + 17706.

Almost surely, 2^137623680 is an apocalyptic number.

137623680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137623680 is an abundant number, since it is smaller than the sum of its proper divisors (337627980).

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

137623680 is a wasteful number, since it uses less digits than its factorization.

137623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23918 (or 23903 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137623680 is about 11731.3119470927. The cubic root of 137623680 is about 516.2947657812.

The spelling of 137623680 in words is "one hundred thirty-seven million, six hundred twenty-three thousand, six hundred eighty".