137771746528 has 384 divisors, whose sum is σ = 337983528960. Its totient is φ = 54597058560.

The previous prime is 137771746523. The next prime is 137771746571. The reversal of 137771746528 is 825647177731.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

Its product of digits (13829760) is a multiple of the sum of its prime factors (490).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137771746523) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 448767751 + ... + 448768057.

It is an arithmetic number, because the mean of its divisors is an integer number (880165440).

Almost surely, 2^137771746528 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 137771746528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168991764480).

137771746528 is an abundant number, since it is smaller than the sum of its proper divisors (200211782432).

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

137771746528 is a wasteful number, since it uses less digits than its factorization.

137771746528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 58.

The spelling of 137771746528 in words is "one hundred thirty-seven billion, seven hundred seventy-one million, seven hundred forty-six thousand, five hundred twenty-eight".