137500248697416 has 640 divisors, whose sum is σ = 451425366120960. Its totient is φ = 38710147276800.

The previous prime is 137500248697411. The next prime is 137500248697459. The reversal of 137500248697416 is 614796842005731.

137500248697416 is a `hidden beast` number, since 1 + 3 + 7 + 50 + 0 + 2 + 4 + 86 + 97 + 416 = 666.

It is not an unprimeable number, because it can be changed into a prime (137500248697411) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 508083996 + ... + 508354548.

It is an arithmetic number, because the mean of its divisors is an integer number (705352134564).

It is a 1-persistent number, because it is pandigital, but 2⋅137500248697416 = 275000497394832 is not.

Almost surely, 2^{137500248697416} 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 137500248697416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225712683060480).

137500248697416 is an abundant number, since it is smaller than the sum of its proper divisors (313925117423544).

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

137500248697416 is a wasteful number, since it uses less digits than its factorization.

137500248697416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270707 (or 270694 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 137500248697416 in words is "one hundred thirty-seven trillion, five hundred billion, two hundred forty-eight million, six hundred ninety-seven thousand, four hundred sixteen".