137742336 has 192 divisors, whose sum is σ = 424569600. Its totient is φ = 44089344.

The previous prime is 137742301. The next prime is 137742337. The reversal of 137742336 is 633247731.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×137742336² = 37945902253473792, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137742336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137742337) 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, 2598886 + ... + 2598938.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 2^137742336 is an apocalyptic number.

137742336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

137742336 is an abundant number, since it is smaller than the sum of its proper divisors (286827264).

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

137742336 is an equidigital number, since it uses as much as digits as its factorization.

137742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 137742336 is about 11736.3680923870. The cubic root of 137742336 is about 516.4431023516.

It can be divided in two parts, 13774 and 2336, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 137742336 in words is "one hundred thirty-seven million, seven hundred forty-two thousand, three hundred thirty-six".