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132491136 = 273973557
BaseRepresentation
bin1111110010110…
…10011110000000
3100020022020200010
413321122132000
5232404204021
621051424520
73166104351
oct771323600
9306266603
10132491136
1168873608
1238455140
13215ab62b
141384bd28
15b971976
hex7e5a780

132491136 has 64 divisors (see below), whose sum is σ = 355657680. Its totient is φ = 43696128.

The previous prime is 132491129. The next prime is 132491141. The reversal of 132491136 is 631194231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×1324911363 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35470 + ... + 39026.

Almost surely, 2132491136 is an apocalyptic number.

132491136 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 132491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177828840).

132491136 is an abundant number, since it is smaller than the sum of its proper divisors (223166544).

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

132491136 is an equidigital number, since it uses as much as digits as its factorization.

132491136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3659 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 132491136 is about 11510.4793992257. The cubic root of 132491136 is about 509.7950425953.

The spelling of 132491136 in words is "one hundred thirty-two million, four hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 2328 3104 3557 4656 6208 7114 9312 10671 12416 14228 18624 21342 28456 37248 42684 56912 85368 113824 170736 227648 341472 345029 455296 682944 690058 1035087 1365888 1380116 2070174 2760232 4140348 5520464 8280696 11040928 16561392 22081856 33122784 44163712 66245568 132491136