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132141296 = 24753113197
BaseRepresentation
bin1111110000001…
…01000011110000
3100012122110210002
413320011003300
5232312010141
621040125132
73163116410
oct770050360
9305573702
10132141296
1168654791
12383067a8
13214b8321
141379a640
15b902e9b
hex7e050f0

132141296 has 80 divisors (see below), whose sum is σ = 302284224. Its totient is φ = 54792192.

The previous prime is 132141281. The next prime is 132141301. The reversal of 132141296 is 692141231.

It is a super-2 number, since 2×1321412962 = 34922644217119232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670670 + ... + 670866.

Almost surely, 2132141296 is an apocalyptic number.

132141296 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 132141296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151142112).

132141296 is an abundant number, since it is smaller than the sum of its proper divisors (170142928).

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

132141296 is a wasteful number, since it uses less digits than its factorization.

132141296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 132141296 is about 11495.2727675336. The cubic root of 132141296 is about 509.3459461316.

The spelling of 132141296 in words is "one hundred thirty-two million, one hundred forty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 113 197 212 226 371 394 424 452 742 788 791 848 904 1379 1484 1576 1582 1808 2758 2968 3152 3164 5516 5936 5989 6328 10441 11032 11978 12656 20882 22064 22261 23956 41764 41923 44522 47912 73087 83528 83846 89044 95824 146174 155827 167056 167692 178088 292348 311654 335384 356176 584696 623308 670768 1169392 1179833 1246616 2359666 2493232 4719332 8258831 9438664 16517662 18877328 33035324 66070648 132141296