137426436 has 192 divisors, whose sum is σ = 444326400. Its totient is φ = 35956224.

The previous prime is 137426371. The next prime is 137426479. The reversal of 137426436 is 634624731.

It is a happy number.

137426436 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 2 + 643 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (72576) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 137426436.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3714210 + ... + 3714246.

It is an arithmetic number, because the mean of its divisors is an integer number (2314200).

Almost surely, 2^137426436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137426436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222163200).

137426436 is an abundant number, since it is smaller than the sum of its proper divisors (306899964).

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

137426436 is a wasteful number, since it uses less digits than its factorization.

137426436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 66 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 137426436 is about 11722.9022003939. The cubic root of 137426436 is about 516.0479944541.

The spelling of 137426436 in words is "one hundred thirty-seven million, four hundred twenty-six thousand, four hundred thirty-six".