137442892608 has 336 divisors, whose sum is σ = 480039517440. Its totient is φ = 38432765952.

The previous prime is 137442892603. The next prime is 137442892661. The reversal of 137442892608 is 806298244731.

137442892608 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 4 + 28 + 9 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137442892603) 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, 3962316 + ... + 3996852.

It is an arithmetic number, because the mean of its divisors is an integer number (1428689040).

Almost surely, 2^137442892608 is an apocalyptic number.

137442892608 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 137442892608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240019758720).

137442892608 is an abundant number, since it is smaller than the sum of its proper divisors (342596624832).

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

137442892608 is a wasteful number, since it uses less digits than its factorization.

137442892608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34619 (or 34596 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 137442892608 in words is "one hundred thirty-seven billion, four hundred forty-two million, eight hundred ninety-two thousand, six hundred eight".