137752764336 has 240 divisors, whose sum is σ = 428081172480. Its totient is φ = 41000762880.

The previous prime is 137752764323. The next prime is 137752764343. The reversal of 137752764336 is 633467257731.

137752764336 is a `hidden beast` number, since 1 + 3 + 77 + 527 + 6 + 43 + 3 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40645330 + ... + 40648718.

It is an arithmetic number, because the mean of its divisors is an integer number (1783671552).

Almost surely, 2^137752764336 is an apocalyptic number.

137752764336 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 137752764336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214040586240).

137752764336 is an abundant number, since it is smaller than the sum of its proper divisors (290328408144).

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

137752764336 is a wasteful number, since it uses less digits than its factorization.

137752764336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3855 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The spelling of 137752764336 in words is "one hundred thirty-seven billion, seven hundred fifty-two million, seven hundred sixty-four thousand, three hundred thirty-six".