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137124867464 = 23135979282881
BaseRepresentation
bin111111110110101000…
…1110110110110001000
3111002221110122000100222
41333231101312312020
54221312431224324
6142554433445212
712623040066464
oct1775521666610
9432843560328
10137124867464
115317745a552
12226aaa10808
13cc1401a040
1468cb84b4a4
1538785e555e
hex1fed476d88

137124867464 has 64 divisors (see below), whose sum is σ = 285145056000. Its totient is φ = 61427957760.

The previous prime is 137124867461. The next prime is 137124867487. The reversal of 137124867464 is 464768421731.

137124867464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137124867461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343304 + ... + 626184.

It is an arithmetic number, because the mean of its divisors is an integer number (4455391500).

Almost surely, 2137124867464 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 137124867464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142572528000).

137124867464 is an abundant number, since it is smaller than the sum of its proper divisors (148020188536).

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

137124867464 is a wasteful number, since it uses less digits than its factorization.

137124867464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283038 (or 283034 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 53.

The spelling of 137124867464 in words is "one hundred thirty-seven billion, one hundred twenty-four million, eight hundred sixty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 59 79 104 118 158 236 316 472 632 767 1027 1534 2054 3068 4108 4661 6136 8216 9322 18644 37288 60593 121186 242372 282881 484744 565762 1131524 2263048 3677453 7354906 14709812 16689979 22347599 29419624 33379958 44695198 66759916 89390396 133519832 178780792 216969727 290518787 433939454 581037574 867878908 1162075148 1318508341 1735757816 2324150296 2637016682 5274033364 10548066728 17140608433 34281216866 68562433732 137124867464