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136874640 = 243572103113
BaseRepresentation
bin10000010100010…
…00101010010000
3100112112221201010
420022020222100
5240014442030
621325410520
73251262300
oct1012105220
9315487633
10136874640
1170297a41
1239a09a40
1322484916
141426d600
15c03a6b0
hex8288a90

136874640 has 240 divisors, whose sum is σ = 502789248. Its totient is φ = 30707712.

The previous prime is 136874561. The next prime is 136874671. The reversal of 136874640 is 46478631.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1211224 + ... + 1211336.

Almost surely, 2136874640 is an apocalyptic number.

136874640 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 136874640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251394624).

136874640 is an abundant number, since it is smaller than the sum of its proper divisors (365914608).

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

136874640 is a wasteful number, since it uses less digits than its factorization.

136874640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 136874640 is about 11699.3435713291. The cubic root of 136874640 is about 515.3563876218.

The spelling of 136874640 in words is "one hundred thirty-six million, eight hundred seventy-four thousand, six hundred forty".