Search a number
-
+
137223545520 = 2435619373193
BaseRepresentation
bin111111111001100101…
…0010010001010110000
3111010012100022101012210
41333303022102022300
54222013211424040
6143012320452120
712625345614555
oct1776312221260
9433170271183
10137223545520
1153218128866
1222717a7a040
13cc2b5b9c19
1468da9b6a2c
1538820d8480
hex1ff32922b0

137223545520 has 80 divisors (see below), whose sum is σ = 432366692832. Its totient is φ = 35993057280.

The previous prime is 137223545489. The next prime is 137223545579. The reversal of 137223545520 is 25545322731.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4671957 + ... + 4701236.

Almost surely, 2137223545520 is an apocalyptic number.

137223545520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137223545520 is an abundant number, since it is smaller than the sum of its proper divisors (295143147312).

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

137223545520 is a wasteful number, since it uses less digits than its factorization.

137223545520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373270 (or 9373264 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 137223545520 in words is "one hundred thirty-seven billion, two hundred twenty-three million, five hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 9373193 18746386 28119579 37492772 46865965 56239158 74985544 93731930 112478316 140597895 149971088 187463860 224956632 281195790 374927720 449913264 562391580 571764773 749855440 1124783160 1143529546 1715294319 2249566320 2287059092 2858823865 3430588638 4574118184 5717647730 6861177276 8576471595 9148236368 11435295460 13722354552 17152943190 22870590920 27444709104 34305886380 45741181840 68611772760 137223545520