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132000128 = 2713233449
BaseRepresentation
bin1111101111000…
…10100110000000
3100012101022010122
413313202212000
5232243001003
621033115412
73161661011
oct767424600
9305338118
10132000128
1168568717
1238258b68
1321468cb0
1413761008
15b8c6238
hex7de2980

132000128 has 64 divisors (see below), whose sum is σ = 295596000. Its totient is φ = 58257408.

The previous prime is 132000119. The next prime is 132000173. The reversal of 132000128 is 821000231.

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

It is a congruent number.

It is an unprimeable number.

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, 36548 + ... + 39996.

Almost surely, 2132000128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147798000).

132000128 is an abundant number, since it is smaller than the sum of its proper divisors (163595872).

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

132000128 is a wasteful number, since it uses less digits than its factorization.

132000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 132000128 is about 11489.1308635597. The cubic root of 132000128 is about 509.1645015443.

Adding to 132000128 its reverse (821000231), we get a palindrome (953000359).

The spelling of 132000128 in words is "one hundred thirty-two million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 299 368 416 598 736 832 1196 1472 1664 2392 2944 3449 4784 6898 9568 13796 19136 27592 38272 44837 55184 79327 89674 110368 158654 179348 220736 317308 358696 441472 634616 717392 1031251 1269232 1434784 2062502 2538464 2869568 4125004 5076928 5739136 8250008 10153856 16500016 33000032 66000064 132000128