137142408 has 32 divisors (see below), whose sum is σ = 369230400. Its totient is φ = 42197568.

The previous prime is 137142403. The next prime is 137142409. The reversal of 137142408 is 804241731.

It is not an unprimeable number, because it can be changed into a prime (137142403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219468 + ... + 220091.

It is an arithmetic number, because the mean of its divisors is an integer number (11538450).

Almost surely, 2^137142408 is an apocalyptic number.

It is an amenable number.

137142408 is an abundant number, since it is smaller than the sum of its proper divisors (232087992).

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

137142408 is a wasteful number, since it uses less digits than its factorization.

137142408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439581 (or 439577 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 137142408 is about 11710.7816989303. The cubic root of 137142408 is about 515.6922327905.

It can be divided in two parts, 137142 and 408, that added together give a triangular number (137550 = T₅₂₄).

The spelling of 137142408 in words is "one hundred thirty-seven million, one hundred forty-two thousand, four hundred eight".