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137444436 = 2232101103367
BaseRepresentation
bin10000011000100…
…11110001010100
3100120121220022200
420030103301110
5240141210221
621345524500
73256154433
oct1014236124
9316556280
10137444436
1170647048
123a043730
132262408c
141437b11a
15c0ee426
hex8313c54

137444436 has 72 divisors (see below), whose sum is σ = 355240704. Its totient is φ = 44798400.

The previous prime is 137444401. The next prime is 137444443. The reversal of 137444436 is 634444731.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (96768) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 137444436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374325 + ... + 374691.

Almost surely, 2137444436 is an apocalyptic number.

It is an amenable number.

137444436 is an abundant number, since it is smaller than the sum of its proper divisors (217796268).

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

137444436 is a wasteful number, since it uses less digits than its factorization.

137444436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 576 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 137444436 is about 11723.6699032342. The cubic root of 137444436 is about 516.0705239825.

The spelling of 137444436 in words is "one hundred thirty-seven million, four hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 101 103 202 206 303 309 367 404 412 606 618 734 909 927 1101 1212 1236 1468 1818 1854 2202 3303 3636 3708 4404 6606 10403 13212 20806 31209 37067 37801 41612 62418 74134 75602 93627 111201 113403 124836 148268 151204 187254 222402 226806 333603 340209 374508 444804 453612 667206 680418 1334412 1360836 3817901 7635802 11453703 15271604 22907406 34361109 45814812 68722218 137444436