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135041376 = 2534992819
BaseRepresentation
bin10000000110010…
…01000101100000
3100102002210221110
420003021011200
5234032311001
621222223320
73226555431
oct1003110540
9312083843
10135041376
116a255648
1239284b40
1321c92352
1413d13488
15bcc73d6
hex80c9160

135041376 has 48 divisors (see below), whose sum is σ = 355320000. Its totient is φ = 44907648.

The previous prime is 135041369. The next prime is 135041407. The reversal of 135041376 is 673140531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 46495 + ... + 49313.

It is an arithmetic number, because the mean of its divisors is an integer number (7402500).

Almost surely, 2135041376 is an apocalyptic number.

135041376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135041376 is an abundant number, since it is smaller than the sum of its proper divisors (220278624).

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

135041376 is a wasteful number, since it uses less digits than its factorization.

135041376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 135041376 is about 11620.7304417580. The cubic root of 135041376 is about 513.0451875125.

The spelling of 135041376 in words is "one hundred thirty-five million, forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 499 998 1497 1996 2819 2994 3992 5638 5988 7984 8457 11276 11976 15968 16914 22552 23952 33828 45104 47904 67656 90208 135312 270624 1406681 2813362 4220043 5626724 8440086 11253448 16880172 22506896 33760344 45013792 67520688 135041376