137710912416 has 288 divisors, whose sum is σ = 463484452032. Its totient is φ = 35399024640.

The previous prime is 137710912403. The next prime is 137710912429. The reversal of 137710912416 is 614219017731.

It is an interprime number because it is at equal distance from previous prime (137710912403) and next prime (137710912429).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5005450 + ... + 5032886.

It is an arithmetic number, because the mean of its divisors is an integer number (1609321014).

Almost surely, 2^137710912416 is an apocalyptic number.

137710912416 is a gapful number since it is divisible by the number (16) 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 137710912416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231742226016).

137710912416 is an abundant number, since it is smaller than the sum of its proper divisors (325773539616).

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

137710912416 is a wasteful number, since it uses less digits than its factorization.

137710912416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27572 (or 27557 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The spelling of 137710912416 in words is "one hundred thirty-seven billion, seven hundred ten million, nine hundred twelve thousand, four hundred sixteen".