137424345 has 64 divisors (see below), whose sum is σ = 242694144. Its totient is φ = 66124800.

The previous prime is 137424341. The next prime is 137424347. The reversal of 137424345 is 543424731.

137424345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137424345 - 2² = 137424341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137424341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 910020 + ... + 910170.

It is an arithmetic number, because the mean of its divisors is an integer number (3792096).

Almost surely, 2^137424345 is an apocalyptic number.

137424345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137424345 is a deficient number, since it is larger than the sum of its proper divisors (105269799).

137424345 is a wasteful number, since it uses less digits than its factorization.

137424345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302.

The product of its digits is 40320, while the sum is 33.

The square root of 137424345 is about 11722.8130156546. The cubic root of 137424345 is about 516.0453771464.

The spelling of 137424345 in words is "one hundred thirty-seven million, four hundred twenty-four thousand, three hundred forty-five".