137977209072 has 240 divisors, whose sum is σ = 431873215488. Its totient is φ = 40915445760.

The previous prime is 137977209037. The next prime is 137977209077. The reversal of 137977209072 is 270902779731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137977209077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3242043 + ... + 3284325.

Almost surely, 2^137977209072 is an apocalyptic number.

137977209072 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 137977209072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215936607744).

137977209072 is an abundant number, since it is smaller than the sum of its proper divisors (293896006416).

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

137977209072 is a wasteful number, since it uses less digits than its factorization.

137977209072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42388 (or 42379 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The spelling of 137977209072 in words is "one hundred thirty-seven billion, nine hundred seventy-seven million, two hundred nine thousand, seventy-two".