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135413721 = 3317476277
BaseRepresentation
bin10000001001000…
…11111111011001
3100102210201201000
420010203333121
5234131214341
621234215213
73232666122
oct1004437731
9312721630
10135413721
116a48a373
1239424509
1322092981
1413dad049
15bd4c8b6
hex8123fd9

135413721 has 32 divisors (see below), whose sum is σ = 216967680. Its totient is φ = 83144448.

The previous prime is 135413701. The next prime is 135413749. The reversal of 135413721 is 127314531.

135413721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135413721 - 226 = 68304857 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (135413701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18435 + ... + 24711.

It is an arithmetic number, because the mean of its divisors is an integer number (6780240).

Almost surely, 2135413721 is an apocalyptic number.

It is an amenable number.

135413721 is a deficient number, since it is larger than the sum of its proper divisors (81553959).

135413721 is a wasteful number, since it uses less digits than its factorization.

135413721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6350 (or 6344 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 135413721 is about 11636.7401363097. The cubic root of 135413721 is about 513.5162888176.

The spelling of 135413721 in words is "one hundred thirty-five million, four hundred thirteen thousand, seven hundred twenty-one".

Divisors: 1 3 9 17 27 47 51 141 153 423 459 799 1269 2397 6277 7191 18831 21573 56493 106709 169479 295019 320127 885057 960381 2655171 2881143 5015323 7965513 15045969 45137907 135413721