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137364146040 = 233511104063747
BaseRepresentation
bin111111111101110001…
…0101000011101111000
3111010120010212121212110
41333323202220131320
54222310210133130
6143034302212320
712632003655612
oct1777342503570
9433503777773
10137364146040
115328a530040
1222756b840a0
13cc517776b4
146911535db2
15388e60cab0
hex1ffb8a8778

137364146040 has 64 divisors (see below), whose sum is σ = 449555391360. Its totient is φ = 33300398720.

The previous prime is 137364145993. The next prime is 137364146041. The reversal of 137364146040 is 40641463731.

It is a self number, because there is not a number n which added to its sum of digits gives 137364146040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137364146041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52030554 + ... + 52033193.

It is an arithmetic number, because the mean of its divisors is an integer number (7024302990).

Almost surely, 2137364146040 is an apocalyptic number.

137364146040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137364146040 is an abundant number, since it is smaller than the sum of its proper divisors (312191245320).

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

137364146040 is a wasteful number, since it uses less digits than its factorization.

137364146040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104063772 (or 104063768 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 137364146040 in words is "one hundred thirty-seven billion, three hundred sixty-four million, one hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 104063747 208127494 312191241 416254988 520318735 624382482 832509976 1040637470 1144701217 1248764964 1560956205 2081274940 2289402434 2497529928 3121912410 3434103651 4162549880 4578804868 5723506085 6243824820 6868207302 9157609736 11447012170 12487649640 13736414604 17170518255 22894024340 27472829208 34341036510 45788048680 68682073020 137364146040