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135407437 = 1171281617
BaseRepresentation
bin10000001001000…
…10011101001101
3100102210102002021
420010202131031
5234131014222
621234130141
73232641604
oct1004423515
9312712067
10135407437
116a485680
1239420951
132208cb59
1413daaa3b
15bd4aac7
hex812274d

135407437 has 16 divisors (see below), whose sum is σ = 150574464. Its totient is φ = 120736000.

The previous prime is 135407429. The next prime is 135407443. The reversal of 135407437 is 734704531.

It is not a de Polignac number, because 135407437 - 23 = 135407429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135407407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219153 + ... + 219769.

It is an arithmetic number, because the mean of its divisors is an integer number (9410904).

Almost surely, 2135407437 is an apocalyptic number.

It is an amenable number.

135407437 is a deficient number, since it is larger than the sum of its proper divisors (15167027).

135407437 is a wasteful number, since it uses less digits than its factorization.

135407437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980.

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 135407437 is about 11636.4701262883. The cubic root of 135407437 is about 513.5083452940.

The spelling of 135407437 in words is "one hundred thirty-five million, four hundred seven thousand, four hundred thirty-seven".

Divisors: 1 11 71 281 617 781 3091 6787 19951 43807 173377 219461 481877 1907147 12309767 135407437