Search a number
-
+
137955441 = 31317232053
BaseRepresentation
bin10000011100100…
…00100001110001
3100121120212021210
420032100201301
5240304033231
621404510333
73263413311
oct1016204161
9317525253
10137955441
1170965a68
123a24b3a9
1322772850
1414471441
15c1a0a46
hex8390871

137955441 has 16 divisors (see below), whose sum is σ = 198301376. Its totient is φ = 84805056.

The previous prime is 137955439. The next prime is 137955457. The reversal of 137955441 is 144559731.

It is not a de Polignac number, because 137955441 - 21 = 137955439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 137955441.

It is not an unprimeable number, because it can be changed into a prime (137955431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66171 + ... + 68223.

It is an arithmetic number, because the mean of its divisors is an integer number (12393836).

Almost surely, 2137955441 is an apocalyptic number.

It is an amenable number.

137955441 is a deficient number, since it is larger than the sum of its proper divisors (60345935).

137955441 is a wasteful number, since it uses less digits than its factorization.

137955441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792.

The product of its digits is 75600, while the sum is 39.

The square root of 137955441 is about 11745.4434143629. The cubic root of 137955441 is about 516.7092996153.

The spelling of 137955441 in words is "one hundred thirty-seven million, nine hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 3 13 39 1723 2053 5169 6159 22399 26689 67197 80067 3537319 10611957 45985147 137955441