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132451152 = 24314291931
BaseRepresentation
bin1111110010100…
…00101101010000
3100020020012211020
413321100231100
5232401414102
621050515440
73165546651
oct771205520
9306205736
10132451152
1168846569
1238435b80
1321596382
141383b528
15b964bbc
hex7e50b50

132451152 has 40 divisors (see below), whose sum is σ = 342582240. Its totient is φ = 44096640.

The previous prime is 132451141. The next prime is 132451153. The reversal of 132451152 is 251154231.

It is a happy number.

It is a super-2 number, since 2×1324511522 = 35086615332254208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132451153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67627 + ... + 69557.

It is an arithmetic number, because the mean of its divisors is an integer number (8564556).

Almost surely, 2132451152 is an apocalyptic number.

132451152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132451152 is an abundant number, since it is smaller than the sum of its proper divisors (210131088).

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

132451152 is a wasteful number, since it uses less digits than its factorization.

132451152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3365 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 132451152 is about 11508.7424160939. The cubic root of 132451152 is about 509.7437543948.

The spelling of 132451152 in words is "one hundred thirty-two million, four hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1429 1931 2858 3862 4287 5716 5793 7724 8574 11432 11586 15448 17148 22864 23172 30896 34296 46344 68592 92688 2759399 5518798 8278197 11037596 16556394 22075192 33112788 44150384 66225576 132451152