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136854900 = 223352713557
BaseRepresentation
bin10000010100000…
…11110101110100
3100112111221122000
420022003311310
5240013324100
621325135300
73251150610
oct1012036564
9315457560
10136854900
1170284126
12399ba530
1322478940
1414266340
15c034900
hex8283d74

136854900 has 288 divisors, whose sum is σ = 542465280. Its totient is φ = 28823040.

The previous prime is 136854889. The next prime is 136854901. The reversal of 136854900 is 9458631.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136854901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245422 + ... + 245978.

It is an arithmetic number, because the mean of its divisors is an integer number (1883560).

Almost surely, 2136854900 is an apocalyptic number.

136854900 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 136854900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271232640).

136854900 is an abundant number, since it is smaller than the sum of its proper divisors (405610380).

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

136854900 is a wasteful number, since it uses less digits than its factorization.

136854900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 136854900 is about 11698.4999038338. The cubic root of 136854900 is about 515.3316116073.

The spelling of 136854900 in words is "one hundred thirty-six million, eight hundred fifty-four thousand, nine hundred".