137675106 has 64 divisors (see below), whose sum is σ = 313632000. Its totient is φ = 44755200.

The previous prime is 137675101. The next prime is 137675137. The reversal of 137675106 is 601576731.

137675106 is a `hidden beast` number, since 137 + 6 + 7 + 510 + 6 = 666.

It is a super-2 number, since 2×137675106² = 37908869624222472, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137675101) 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, 571146 + ... + 571386.

It is an arithmetic number, because the mean of its divisors is an integer number (4900500).

Almost surely, 2^137675106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137675106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816000).

137675106 is an abundant number, since it is smaller than the sum of its proper divisors (175956894).

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

137675106 is a wasteful number, since it uses less digits than its factorization.

137675106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 137675106 is about 11733.5035688408. The cubic root of 137675106 is about 516.3590659273.

The spelling of 137675106 in words is "one hundred thirty-seven million, six hundred seventy-five thousand, one hundred six".