137678034 has 32 divisors (see below), whose sum is σ = 301573440. Its totient is φ = 41643072.

The previous prime is 137678011. The next prime is 137678039. The reversal of 137678034 is 430876731.

It is a super-2 number, since 2×137678034² = 37910482092210312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 137677983 and 137678001.

It is not an unprimeable number, because it can be changed into a prime (137678039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10357 + ... + 19560.

It is an arithmetic number, because the mean of its divisors is an integer number (9424170).

Almost surely, 2^137678034 is an apocalyptic number.

137678034 is an abundant number, since it is smaller than the sum of its proper divisors (163895406).

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

137678034 is a wasteful number, since it uses less digits than its factorization.

137678034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29994.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 137678034 is about 11733.6283390944. The cubic root of 137678034 is about 516.3627264502.

The spelling of 137678034 in words is "one hundred thirty-seven million, six hundred seventy-eight thousand, thirty-four".