137742612480 has 960 divisors, whose sum is σ = 557110794240. Its totient is φ = 32248627200.

The previous prime is 137742612461. The next prime is 137742612499. The reversal of 137742612480 is 84216247731.

137742612480 is a `hidden beast` number, since 1 + 3 + 77 + 42 + 61 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (137742612461) and next prime (137742612499).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282838797 + ... + 282839283.

It is an arithmetic number, because the mean of its divisors is an integer number (580323744).

Almost surely, 2^137742612480 is an apocalyptic number.

137742612480 is a gapful number since it is divisible by the number (10) 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 137742612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278555397120).

137742612480 is an abundant number, since it is smaller than the sum of its proper divisors (419368181760).

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

137742612480 is a wasteful number, since it uses less digits than its factorization.

137742612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 137742612480 in words is "one hundred thirty-seven billion, seven hundred forty-two million, six hundred twelve thousand, four hundred eighty".