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136746456 = 23372112312
BaseRepresentation
bin10000010011010…
…01010111011000
3100112022102212120
420021221113120
5240001341311
621322541240
73250216500
oct1011512730
9315272776
10136746456
117020a700
1239967820
132243b482
1414238a00
15c012706
hex82695d8

136746456 has 216 divisors, whose sum is σ = 451675980. Its totient is φ = 34372800.

The previous prime is 136746451. The next prime is 136746461. The reversal of 136746456 is 654647631.

It is an interprime number because it is at equal distance from previous prime (136746451) and next prime (136746461).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (362880) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136746451) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4411161 + ... + 4411191.

Almost surely, 2136746456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136746456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225837990).

136746456 is an abundant number, since it is smaller than the sum of its proper divisors (314929524).

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

136746456 is a wasteful number, since it uses less digits than its factorization.

136746456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 136746456 is about 11693.8640320469. The cubic root of 136746456 is about 515.1954591597.

The spelling of 136746456 in words is "one hundred thirty-six million, seven hundred forty-six thousand, four hundred fifty-six".