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132745144 = 2372324481
BaseRepresentation
bin1111110100110…
…00011110111000
3100020210011002211
413322120132320
5232440321034
621101104504
73201213040
oct772303670
9306704084
10132745144
1168a27434
1238558134
132166a12c
14138b6720
15b9c1d64
hex7e987b8

132745144 has 48 divisors (see below), whose sum is σ = 297425520. Its totient is φ = 54405120.

The previous prime is 132745133. The next prime is 132745181. The reversal of 132745144 is 441547231.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27384 + ... + 31864.

It is an arithmetic number, because the mean of its divisors is an integer number (6196365).

Almost surely, 2132745144 is an apocalyptic number.

132745144 is a gapful number since it is divisible by the number (14) 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 132745144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148712760).

132745144 is an abundant number, since it is smaller than the sum of its proper divisors (164680376).

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

132745144 is a wasteful number, since it uses less digits than its factorization.

132745144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4513 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 132745144 is about 11521.5078874252. The cubic root of 132745144 is about 510.1206225004.

The spelling of 132745144 in words is "one hundred thirty-two million, seven hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 529 644 1058 1288 2116 3703 4232 4481 7406 8962 14812 17924 29624 31367 35848 62734 103063 125468 206126 250936 412252 721441 824504 1442882 2370449 2885764 4740898 5771528 9481796 16593143 18963592 33186286 66372572 132745144