137457945 has 16 divisors (see below), whose sum is σ = 244369920. Its totient is φ = 73310832.

The previous prime is 137457899. The next prime is 137457961. The reversal of 137457945 is 549754731.

137457945 is a `hidden beast` number, since 1 + 3 + 74 + 579 + 4 + 5 = 666.

It is not a de Polignac number, because 137457945 - 2¹⁵ = 137425177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137457945.

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 15 ways as a sum of consecutive naturals, for example, 508969 + ... + 509238.

It is an arithmetic number, because the mean of its divisors is an integer number (15273120).

Almost surely, 2^137457945 is an apocalyptic number.

137457945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137457945 is a deficient number, since it is larger than the sum of its proper divisors (106911975).

137457945 is a wasteful number, since it uses less digits than its factorization.

137457945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018221 (or 1018215 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 137457945 is about 11724.2460311954. The cubic root of 137457945 is about 516.0874311015.

It can be divided in two parts, 1374 and 57945, that added together give a cube (59319 = 39³).

The spelling of 137457945 in words is "one hundred thirty-seven million, four hundred fifty-seven thousand, nine hundred forty-five".