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150661134 = 2341325503
BaseRepresentation
bin10001111101011…
…10100000001110
3101111111101020000
420332232200032
5302032124014
622541105130
73506412201
oct1076564016
9344441200
10150661134
1178053a38
12425581a6
13252a0b00
141601b938
15d360509
hex8fae80e

150661134 has 60 divisors (see below), whose sum is σ = 365625216. Its totient is φ = 46348848.

The previous prime is 150661129. The next prime is 150661141. The reversal of 150661134 is 431166051.

150661134 is a `hidden beast` number, since 15 + 0 + 6 + 611 + 34 = 666.

150661134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 150661098 and 150661107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24627 + ... + 30129.

Almost surely, 2150661134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150661134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182812608).

150661134 is an abundant number, since it is smaller than the sum of its proper divisors (214964082).

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

150661134 is a wasteful number, since it uses less digits than its factorization.

150661134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 150661134 is about 12274.4097210416. The cubic root of 150661134 is about 532.1087624126.

The spelling of 150661134 in words is "one hundred fifty million, six hundred sixty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 507 702 1014 1053 1521 2106 3042 4563 5503 9126 11006 13689 16509 27378 33018 49527 71539 99054 143078 148581 214617 297162 429234 445743 643851 891486 930007 1287702 1860014 1931553 2790021 3863106 5580042 5794659 8370063 11589318 16740126 25110189 50220378 75330567 150661134