137531739072 has 336 divisors, whose sum is σ = 462829387776. Its totient is φ = 35097753600.

The previous prime is 137531739029. The next prime is 137531739089. The reversal of 137531739072 is 270937135731.

137531739072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 16786497 + ... + 16794687.

It is an arithmetic number, because the mean of its divisors is an integer number (1377468416).

Almost surely, 2^137531739072 is an apocalyptic number.

137531739072 is a gapful number since it is divisible by the number (12) 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 137531739072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231414693888).

137531739072 is an abundant number, since it is smaller than the sum of its proper divisors (325297648704).

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

137531739072 is a wasteful number, since it uses less digits than its factorization.

137531739072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 833490, while the sum is 48.

The spelling of 137531739072 in words is "one hundred thirty-seven billion, five hundred thirty-one million, seven hundred thirty-nine thousand, seventy-two".