137741655936 has 128 divisors (see below), whose sum is σ = 369210101760. Its totient is φ = 45496442880.

The previous prime is 137741655869. The next prime is 137741655943. The reversal of 137741655936 is 639556147731.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (14288400) is a multiple of the sum of its prime divisors (3600).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63738696 + ... + 63740856.

It is an arithmetic number, because the mean of its divisors is an integer number (2884453920).

Almost surely, 2^137741655936 is an apocalyptic number.

137741655936 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 137741655936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184605050880).

137741655936 is an abundant number, since it is smaller than the sum of its proper divisors (231468445824).

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

137741655936 is a wasteful number, since it uses less digits than its factorization.

137741655936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3600 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 57.

The spelling of 137741655936 in words is "one hundred thirty-seven billion, seven hundred forty-one million, six hundred fifty-five thousand, nine hundred thirty-six".