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137402717300 = 225253169915259
BaseRepresentation
bin111111111110111010…
…1110001010001110100
3111010122211110020200122
41333331311301101310
54222400043423200
6143042201031112
712632652553352
oct1777565612164
9433584406618
10137402717300
11532aa285212
1222767a85498
13cc59760b24
1469166d67d2
153892bcb385
hex1ffdd71474

137402717300 has 72 divisors (see below), whose sum is σ = 303988356000. Its totient is φ = 53888814720.

The previous prime is 137402717293. The next prime is 137402717339. The reversal of 137402717300 is 3717204731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8997071 + ... + 9012329.

It is an arithmetic number, because the mean of its divisors is an integer number (4222060500).

Almost surely, 2137402717300 is an apocalyptic number.

137402717300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137402717300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151994178000).

137402717300 is an abundant number, since it is smaller than the sum of its proper divisors (166585638700).

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

137402717300 is a wasteful number, since it uses less digits than its factorization.

137402717300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17025 (or 17018 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 35.

The spelling of 137402717300 in words is "one hundred thirty-seven billion, four hundred two million, seven hundred seventeen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 1699 2650 3398 5300 6796 8495 15259 16990 30518 33980 42475 61036 76295 84950 90047 152590 169900 180094 305180 360188 381475 450235 762950 808727 900470 1525900 1617454 1800940 2251175 3234908 4043635 4502350 8087270 9004700 16174540 20218175 25925041 40436350 51850082 80872700 103700164 129625205 259250410 518500820 648126025 1296252050 1374027173 2592504100 2748054346 5496108692 6870135865 13740271730 27480543460 34350679325 68701358650 137402717300