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126525132 = 22331171529
BaseRepresentation
bin1111000101010…
…01111011001100
322211002010212000
413202221323030
5224342301012
620315512300
73064305636
oct742517314
9284063760
10126525132
1165469228
1236458690
132029cc56
1412b37a56
15b193ddc
hex78a9ecc

126525132 has 24 divisors (see below), whose sum is σ = 328028400. Its totient is φ = 42175008.

The previous prime is 126525121. The next prime is 126525143. The reversal of 126525132 is 231525621.

It is a happy number.

126525132 is a `hidden beast` number, since 1 + 2 + 6 + 525 + 132 = 666.

It is an interprime number because it is at equal distance from previous prime (126525121) and next prime (126525143).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 126525096 and 126525105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585657 + ... + 585872.

It is an arithmetic number, because the mean of its divisors is an integer number (13667850).

Almost surely, 2126525132 is an apocalyptic number.

126525132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126525132 is an abundant number, since it is smaller than the sum of its proper divisors (201503268).

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

126525132 is a wasteful number, since it uses less digits than its factorization.

126525132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171542 (or 1171534 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 126525132 is about 11248.3390773927. The cubic root of 126525132 is about 502.0252946202.

The spelling of 126525132 in words is "one hundred twenty-six million, five hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1171529 2343058 3514587 4686116 7029174 10543761 14058348 21087522 31631283 42175044 63262566 126525132