137987091648 has 224 divisors, whose sum is σ = 490879180800. Its totient is φ = 37105717248.

The previous prime is 137987091637. The next prime is 137987091659. The reversal of 137987091648 is 846190789731.

It is an interprime number because it is at equal distance from previous prime (137987091637) and next prime (137987091659).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×137987091648² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129888 + ... + 541151.

Almost surely, 2^137987091648 is an apocalyptic number.

137987091648 is a gapful number since it is divisible by the number (18) 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 137987091648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245439590400).

137987091648 is an abundant number, since it is smaller than the sum of its proper divisors (352892089152).

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

137987091648 is a wasteful number, since it uses less digits than its factorization.

137987091648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671084 (or 671068 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 137987091648 in words is "one hundred thirty-seven billion, nine hundred eighty-seven million, ninety-one thousand, six hundred forty-eight".