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132551120 = 24513127453
BaseRepresentation
bin1111110011010…
…01000111010000
3100020102021221202
413321221013100
5232413113440
621053010332
73166444262
oct771510720
9306367852
10132551120
1168904689
12384839a8
13215cca20
1413865b32
15b984615
hex7e691d0

132551120 has 40 divisors (see below), whose sum is σ = 331890216. Its totient is φ = 48941568.

The previous prime is 132551113. The next prime is 132551123. The reversal of 132551120 is 21155231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31990336 + 100560784 = 5656^2 + 10028^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132551092 and 132551101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132551123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62687 + ... + 64766.

Almost surely, 2132551120 is an apocalyptic number.

132551120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132551120 is an abundant number, since it is smaller than the sum of its proper divisors (199339096).

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

132551120 is a wasteful number, since it uses less digits than its factorization.

132551120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127479 (or 127473 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 132551120 is about 11513.0847299931. The cubic root of 132551120 is about 509.8719658095.

The spelling of 132551120 in words is "one hundred thirty-two million, five hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 127453 254906 509812 637265 1019624 1274530 1656889 2039248 2549060 3313778 5098120 6627556 8284445 10196240 13255112 16568890 26510224 33137780 66275560 132551120