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132158016 = 26324792
BaseRepresentation
bin1111110000010…
…01001001000000
3100012200022201100
413320021021000
5232313024031
621040334400
73163216224
oct770111100
9305608640
10132158016
1168666301
1238314400
13214c2b13
14137a2784
15b907de6
hex7e09240

132158016 has 63 divisors (see below), whose sum is σ = 379599571. Its totient is φ = 43960704.

The previous prime is 132158011. The next prime is 132158021. The reversal of 132158016 is 610851231.

The square root of 132158016 is 11496.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (132158011) and next prime (132158021).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132158011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 275665 + ... + 276143.

Almost surely, 2132158016 is an apocalyptic number.

132158016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132158016 is the 11496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132158016

132158016 is an abundant number, since it is smaller than the sum of its proper divisors (247441555).

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

132158016 is an frugal number, since it uses more digits than its factorization.

132158016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 132158016 is about 509.3674279477.

The spelling of 132158016 in words is "one hundred thirty-two million, one hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 479 576 958 1437 1916 2874 3832 4311 5748 7664 8622 11496 15328 17244 22992 30656 34488 45984 68976 91968 137952 229441 275904 458882 688323 917764 1376646 1835528 2064969 2753292 3671056 4129938 5506584 7342112 8259876 11013168 14684224 16519752 22026336 33039504 44052672 66079008 132158016