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137079790848 = 28327311131213
BaseRepresentation
bin111111110101010010…
…1111001110100000000
3111002211022210212212200
41333222211321310000
54221214411301343
6142550143353200
712621651666000
oct1775245716400
9432738725780
10137079790848
1153153a71850
12226978b2800
13cc078968a0
1468c5876000
15387468e4d3
hex1fea979d00

137079790848 has 864 divisors, whose sum is σ = 541941254400. Its totient is φ = 32839188480.

The previous prime is 137079790829. The next prime is 137079790901. The reversal of 137079790848 is 848097970731.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113008290 + ... + 113009502.

Almost surely, 2137079790848 is an apocalyptic number.

137079790848 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 137079790848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270970627200).

137079790848 is an abundant number, since it is smaller than the sum of its proper divisors (404861463552).

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

137079790848 is a wasteful number, since it uses less digits than its factorization.

137079790848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 137079790848 in words is "one hundred thirty-seven billion, seventy-nine million, seven hundred ninety thousand, eight hundred forty-eight".