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135920952 = 233210118691
BaseRepresentation
bin10000001100111…
…11110100111000
3100110202111111100
420012133310320
5234243432302
621253131400
73240210666
oct1006376470
9313674440
10135920952
116a7a6472
1239629b60
132220c7cb
14140a1c36
15bdecd1c
hex819fd38

135920952 has 48 divisors (see below), whose sum is σ = 371783880. Its totient is φ = 44856000.

The previous prime is 135920947. The next prime is 135920969. The reversal of 135920952 is 259029531.

It is a happy number.

135920952 is a `hidden beast` number, since 13 + 592 + 0 + 9 + 52 = 666.

135920952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2074 + ... + 16617.

Almost surely, 2135920952 is an apocalyptic number.

135920952 is a gapful number since it is divisible by the number (12) 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 135920952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185891940).

135920952 is an abundant number, since it is smaller than the sum of its proper divisors (235862928).

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

135920952 is a wasteful number, since it uses less digits than its factorization.

135920952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18804 (or 18797 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 135920952 is about 11658.5141420337. The cubic root of 135920952 is about 514.1566641809.

The spelling of 135920952 in words is "one hundred thirty-five million, nine hundred twenty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 18691 37382 56073 74764 112146 149528 168219 224292 336438 448584 672876 1345752 1887791 3775582 5663373 7551164 11326746 15102328 16990119 22653492 33980238 45306984 67960476 135920952