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137730477 = 3251317577
BaseRepresentation
bin10000011010110…
…01100110101101
3100121011102200210
420031121212231
5240224333402
621400013033
73261455403
oct1015314655
9317142623
10137730477
1170821a45
123a161179
13226c4331
1414413473
15c15906c
hex83599ad

137730477 has 16 divisors (see below), whose sum is σ = 185274432. Its totient is φ = 91008000.

The previous prime is 137730473. The next prime is 137730479. The reversal of 137730477 is 774037731.

137730477 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137730477 - 22 = 137730473 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137730473) 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, 238413 + ... + 238989.

It is an arithmetic number, because the mean of its divisors is an integer number (11579652).

Almost surely, 2137730477 is an apocalyptic number.

It is an amenable number.

137730477 is a deficient number, since it is larger than the sum of its proper divisors (47543955).

137730477 is a wasteful number, since it uses less digits than its factorization.

137730477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148.

The product of its (nonzero) digits is 86436, while the sum is 39.

The square root of 137730477 is about 11735.8628570719. The cubic root of 137730477 is about 516.4282807779.

The spelling of 137730477 in words is "one hundred thirty-seven million, seven hundred thirty thousand, four hundred seventy-seven".

Divisors: 1 3 251 317 577 753 951 1731 79567 144827 182909 238701 434481 548727 45910159 137730477