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132151296 = 2113137157
BaseRepresentation
bin1111110000001…
…11100000000000
3100012122222111110
413320013200000
5232312320141
621040243320
73163160514
oct770074000
9305588443
10132151296
1168661252
1238310540
13214bca44
14137a0144
15b905e16
hex7e07800

132151296 has 96 divisors (see below), whose sum is σ = 357149520. Its totient is φ = 43450368.

The previous prime is 132151291. The next prime is 132151297. The reversal of 132151296 is 692151231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132151291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841650 + ... + 841806.

Almost surely, 2132151296 is an apocalyptic number.

132151296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178574760).

132151296 is an abundant number, since it is smaller than the sum of its proper divisors (224998224).

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

132151296 is a wasteful number, since it uses less digits than its factorization.

132151296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 132151296 is about 11495.7077207104. The cubic root of 132151296 is about 509.3587943255.

The spelling of 132151296 in words is "one hundred thirty-two million, one hundred fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 157 192 256 274 314 384 411 471 512 548 628 768 822 942 1024 1096 1256 1536 1644 1884 2048 2192 2512 3072 3288 3768 4384 5024 6144 6576 7536 8768 10048 13152 15072 17536 20096 21509 26304 30144 35072 40192 43018 52608 60288 64527 70144 80384 86036 105216 120576 129054 140288 160768 172072 210432 241152 258108 280576 321536 344144 420864 482304 516216 688288 841728 964608 1032432 1376576 2064864 2753152 4129728 5506304 8259456 11012608 16518912 22025216 33037824 44050432 66075648 132151296