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137147977536 = 2631375213959
BaseRepresentation
bin111111110111010101…
…0000000111101000000
3111010000002010010102120
41333232222000331000
54221334340240121
6143001021044240
712623440401003
oct1775652007500
9433002103376
10137147977536
1153189504489
12226b66b6680
13cc18a4bc3b
1468d094553a
15387a65cbc6
hex1feea80f40

137147977536 has 56 divisors (see below), whose sum is σ = 365519451840. Its totient is φ = 45382290432.

The previous prime is 137147977531. The next prime is 137147977553. The reversal of 137147977536 is 635779741731.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137147977536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137147977531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2580676 + ... + 2633283.

Almost surely, 2137147977536 is an apocalyptic number.

137147977536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137147977536 is an abundant number, since it is smaller than the sum of its proper divisors (228371474304).

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

137147977536 is a wasteful number, since it uses less digits than its factorization.

137147977536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214111 (or 5214101 counting only the distinct ones).

The product of its digits is 23337720, while the sum is 60.

The spelling of 137147977536 in words is "one hundred thirty-seven billion, one hundred forty-seven million, nine hundred seventy-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 8768 13152 26304 5213959 10427918 15641877 20855836 31283754 41711672 62567508 83423344 125135016 166846688 250270032 333693376 500540064 714312383 1001080128 1428624766 2142937149 2857249532 4285874298 5714499064 8571748596 11428998128 17143497192 22857996256 34286994384 45715992512 68573988768 137147977536