137347542 has 64 divisors (see below), whose sum is σ = 323136000. Its totient is φ = 43123104.

The previous prime is 137347537. The next prime is 137347543. The reversal of 137347542 is 245743731.

137347542 is a `hidden beast` number, since 1 + 3 + 73 + 47 + 542 = 666.

137347542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 137347497 and 137347506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137347543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269584 + ... + 270092.

It is an arithmetic number, because the mean of its divisors is an integer number (5049000).

Almost surely, 2^137347542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137347542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

137347542 is an abundant number, since it is smaller than the sum of its proper divisors (185788458).

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

137347542 is a wasteful number, since it uses less digits than its factorization.

137347542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 137347542 is about 11719.5367655893. The cubic root of 137347542 is about 515.9492243169.

The spelling of 137347542 in words is "one hundred thirty-seven million, three hundred forty-seven thousand, five hundred forty-two".