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135919504 = 2479712511
BaseRepresentation
bin10000001100111…
…11011110010000
3100110202102111201
420012133132100
5234243411004
621253120544
73240203530
oct1006373620
9313672451
10135919504
116a7a5376
1239629154
132220bc56
14140a14c0
15bdec6a4
hex819f790

135919504 has 40 divisors (see below), whose sum is σ = 304091648. Its totient is φ = 57646080.

The previous prime is 135919501. The next prime is 135919519. The reversal of 135919504 is 405919531.

It is a happy number.

It is a super-2 number, since 2×1359195042 = 36948223135212032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135919501) by changing a digit.

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, 4609 + ... + 17119.

Almost surely, 2135919504 is an apocalyptic number.

135919504 is a gapful number since it is divisible by the number (14) 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 135919504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152045824).

135919504 is an abundant number, since it is smaller than the sum of its proper divisors (168172144).

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

135919504 is a wasteful number, since it uses less digits than its factorization.

135919504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 135919504 is about 11658.4520413304. The cubic root of 135919504 is about 514.1548383611.

The spelling of 135919504 in words is "one hundred thirty-five million, nine hundred nineteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 12511 25022 50044 87577 100088 175154 200176 350308 700616 1213567 1401232 2427134 4854268 8494969 9708536 16989938 19417072 33979876 67959752 135919504