137625768 has 48 divisors (see below), whose sum is σ = 425986080. Its totient is φ = 39321504.

The previous prime is 137625749. The next prime is 137625769. The reversal of 137625768 is 867526731.

137625768 is a `hidden beast` number, since 1 + 3 + 76 + 2 + 576 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (137625769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136030 + ... + 137037.

It is an arithmetic number, because the mean of its divisors is an integer number (8874710).

Almost surely, 2^137625768 is an apocalyptic number.

137625768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137625768 is an abundant number, since it is smaller than the sum of its proper divisors (288360312).

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

137625768 is a wasteful number, since it uses less digits than its factorization.

137625768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273086 (or 273079 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 137625768 is about 11731.4009393593. The cubic root of 137625768 is about 516.2973768096.

The spelling of 137625768 in words is "one hundred thirty-seven million, six hundred twenty-five thousand, seven hundred sixty-eight".