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137452293144 = 23331278149789
BaseRepresentation
bin1000000000000011001…
…0111000110000011000
3111010210021201221222000
42000000302320300120
54223000241340034
6143051131401000
712634124133345
oct2000062706030
9433707657860
10137452293144
1153325266291
12227805b3160
13cc66acb14a
14691d11d7cc
153897220599
hex2000cb8c18

137452293144 has 64 divisors (see below), whose sum is σ = 381849468000. Its totient is φ = 45812926080.

The previous prime is 137452293131. The next prime is 137452293169. The reversal of 137452293144 is 441392254731.

137452293144 is a `hidden beast` number, since 1 + 37 + 4 + 522 + 93 + 1 + 4 + 4 = 666.

137452293144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137452293144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2735802 + ... + 2785590.

Almost surely, 2137452293144 is an apocalyptic number.

It is an amenable number.

137452293144 is an abundant number, since it is smaller than the sum of its proper divisors (244397174856).

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

137452293144 is a wasteful number, since it uses less digits than its factorization.

137452293144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62585 (or 62575 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 137452293144 in words is "one hundred thirty-seven billion, four hundred fifty-two million, two hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 12781 25562 38343 49789 51124 76686 99578 102248 115029 149367 153372 199156 230058 298734 306744 345087 398312 448101 460116 597468 690174 896202 920232 1194936 1344303 1380348 1792404 2688606 2760696 3584808 5377212 10754424 636353209 1272706418 1909059627 2545412836 3818119254 5090825672 5727178881 7636238508 11454357762 15272477016 17181536643 22908715524 34363073286 45817431048 68726146572 137452293144