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132151014 = 2341137219
BaseRepresentation
bin1111110000001…
…11011011100110
3100012122222010000
413320013123212
5232312313024
621040242130
73163156632
oct770073346
9305588100
10132151014
1168661016
1238310346
13214bc888
141379ddc2
15b905cc9
hex7e076e6

132151014 has 40 divisors (see below), whose sum is σ = 298778040. Its totient is φ = 43654464.

The previous prime is 132151007. The next prime is 132151021. The reversal of 132151014 is 410151231.

It is an interprime number because it is at equal distance from previous prime (132151007) and next prime (132151021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14697 + ... + 21915.

It is an arithmetic number, because the mean of its divisors is an integer number (7469451).

Almost surely, 2132151014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132151014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149389020).

132151014 is an abundant number, since it is smaller than the sum of its proper divisors (166627026).

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

132151014 is a wasteful number, since it uses less digits than its factorization.

132151014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7346 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 132151014 is about 11495.6954552563. The cubic root of 132151014 is about 509.3584320153.

The spelling of 132151014 in words is "one hundred thirty-two million, one hundred fifty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 6102 7219 9153 14438 18306 21657 43314 64971 129942 194913 389826 584739 815747 1169478 1631494 2447241 4894482 7341723 14683446 22025169 44050338 66075507 132151014