137629842 has 32 divisors (see below), whose sum is σ = 321902592. Its totient is φ = 38407824.

The previous prime is 137629829. The next prime is 137629883. The reversal of 137629842 is 248926731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 137629794 and 137629803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36298 + ... + 39909.

It is an arithmetic number, because the mean of its divisors is an integer number (10059456).

Almost surely, 2^137629842 is an apocalyptic number.

137629842 is an abundant number, since it is smaller than the sum of its proper divisors (184272750).

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

137629842 is a wasteful number, since it uses less digits than its factorization.

137629842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76262.

The product of its digits is 145152, while the sum is 42.

The square root of 137629842 is about 11731.5745746255. The cubic root of 137629842 is about 516.3024712402.

The spelling of 137629842 in words is "one hundred thirty-seven million, six hundred twenty-nine thousand, eight hundred forty-two".