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134739792 = 24321131937
BaseRepresentation
bin10000000011111…
…11011101010000
3100101112111020200
420001333131100
5233443133132
621211535200
73224161245
oct1001773520
9311474220
10134739792
116a06a000
123915a500
1321bb7cb5
1413c755cc
15bc67d7c
hex807f750

134739792 has 240 divisors, whose sum is σ = 448393920. Its totient is φ = 37635840.

The previous prime is 134739791. The next prime is 134739797. The reversal of 134739792 is 297937431.

134739792 is a `hidden beast` number, since 1 + 3 + 473 + 97 + 92 = 666.

Its product of digits (285768) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134739791) 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 47 ways as a sum of consecutive naturals, for example, 3641598 + ... + 3641634.

It is an arithmetic number, because the mean of its divisors is an integer number (1868308).

Almost surely, 2134739792 is an apocalyptic number.

134739792 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 134739792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224196960).

134739792 is an abundant number, since it is smaller than the sum of its proper divisors (313654128).

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

134739792 is a wasteful number, since it uses less digits than its factorization.

134739792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 134739792 is about 11607.7470682299. The cubic root of 134739792 is about 512.6629798529.

It can be divided in two parts, 134739 and 792, that added together give a palindrome (135531).

The spelling of 134739792 in words is "one hundred thirty-four million, seven hundred thirty-nine thousand, seven hundred ninety-two".