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136171840 = 2657313753
BaseRepresentation
bin10000001110111…
…01000101000000
3100111020020122111
420013131011000
5234324444330
621302345104
73242304310
oct1007350500
9314206574
10136171840
116a957a12
123972b194
1322299a6c
1414129440
15be4c32a
hex81dd140

136171840 has 224 divisors, whose sum is σ = 400287744. Its totient is φ = 43130880.

The previous prime is 136171837. The next prime is 136171843. The reversal of 136171840 is 48171631.

It is an interprime number because it is at equal distance from previous prime (136171837) and next prime (136171843).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136171843) 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, 2569254 + ... + 2569306.

Almost surely, 2136171840 is an apocalyptic number.

136171840 is a gapful number since it is divisible by the number (10) 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 136171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200143872).

136171840 is an abundant number, since it is smaller than the sum of its proper divisors (264115904).

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

136171840 is a wasteful number, since it uses less digits than its factorization.

136171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 136171840 is about 11669.2690430892. The cubic root of 136171840 is about 514.4728196329.

The spelling of 136171840 in words is "one hundred thirty-six million, one hundred seventy-one thousand, eight hundred forty".