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137148466344 = 23379556313003
BaseRepresentation
bin111111110111010101…
…1111000010010101000
3111010000010000221221120
41333232223320102220
54221340001410334
6143001035335240
712623444505051
oct1775653702250
9433003027846
10137148466344
115318980875a
12226b68b1520
13cc18b90586
1468d0a31728
15387a707949
hex1feeaf84a8

137148466344 has 64 divisors (see below), whose sum is σ = 347300428800. Its totient is φ = 45125885376.

The previous prime is 137148466333. The next prime is 137148466349. The reversal of 137148466344 is 443664841731.

It is a super-2 number, since 2×1371484663442 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (137148466349) 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, 10540947 + ... + 10553949.

It is an arithmetic number, because the mean of its divisors is an integer number (5426569200).

Almost surely, 2137148466344 is an apocalyptic number.

It is an amenable number.

137148466344 is an abundant number, since it is smaller than the sum of its proper divisors (210151962456).

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

137148466344 is a wasteful number, since it uses less digits than its factorization.

137148466344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18654 (or 18650 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 137148466344 in words is "one hundred thirty-seven billion, one hundred forty-eight million, four hundred sixty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 5563 11126 13003 16689 22252 26006 33378 39009 44504 52012 66756 78018 104024 133512 156036 312072 439477 878954 1027237 1318431 1757908 2054474 2636862 3081711 3515816 4108948 5273724 6163422 8217896 10547448 12326844 24653688 72335689 144671378 217007067 289342756 434014134 578685512 868028268 1736056536 5714519431 11429038862 17143558293 22858077724 34287116586 45716155448 68574233172 137148466344