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132745725 = 3252789947
BaseRepresentation
bin1111110100110…
…00100111111101
3100020210011220100
413322120213331
5232440330400
621101111313
73201214530
oct772304775
9306704810
10132745725
1168a27912
1238558539
132166a488
14138b6a17
15b9c2100
hex7e989fd

132745725 has 72 divisors (see below), whose sum is σ = 275071680. Its totient is φ = 59938560.

The previous prime is 132745721. The next prime is 132745747. The reversal of 132745725 is 527547231.

132745725 is a `hidden beast` number, since 13 + 2 + 74 + 572 + 5 = 666.

It is not a de Polignac number, because 132745725 - 22 = 132745721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132745725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132745721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139702 + ... + 140648.

It is an arithmetic number, because the mean of its divisors is an integer number (3820440).

Almost surely, 2132745725 is an apocalyptic number.

132745725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132745725 is an abundant number, since it is smaller than the sum of its proper divisors (142325955).

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

132745725 is a wasteful number, since it uses less digits than its factorization.

132745725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1051 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 132745725 is about 11521.5331011112. The cubic root of 132745725 is about 510.1213667327.

The spelling of 132745725 in words is "one hundred thirty-two million, seven hundred forty-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 89 105 175 225 267 315 445 525 623 801 947 1335 1575 1869 2225 2841 3115 4005 4735 5607 6629 6675 8523 9345 14205 15575 19887 20025 23675 28035 33145 42615 46725 59661 71025 84283 99435 140175 165725 213075 252849 298305 421415 497175 589981 758547 1264245 1491525 1769943 2107075 2949905 3792735 5309829 6321225 8849715 14749525 18963675 26549145 44248575 132745725