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136754840 = 23553251257
BaseRepresentation
bin10000010011010…
…11011010011000
3100112022212101002
420021223122120
5240002123330
621323044132
73250253105
oct1011533230
9315285332
10136754840
1170215a32
1239970648
1322442231
141423baac
15c014e45
hex826b698

136754840 has 64 divisors (see below), whose sum is σ = 315977760. Its totient is φ = 53248000.

The previous prime is 136754831. The next prime is 136754869. The reversal of 136754840 is 48457631.

136754840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 136754794 and 136754803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531992 + ... + 532248.

Almost surely, 2136754840 is an apocalyptic number.

136754840 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 136754840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157988880).

136754840 is an abundant number, since it is smaller than the sum of its proper divisors (179222920).

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

136754840 is a wasteful number, since it uses less digits than its factorization.

136754840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 136754840 is about 11694.2225051518. Note that the first 3 decimals coincide. The cubic root of 136754840 is about 515.2059879163.

The spelling of 136754840 in words is "one hundred thirty-six million, seven hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 251 257 265 424 502 514 530 1004 1028 1060 1255 1285 2008 2056 2120 2510 2570 5020 5140 10040 10280 13303 13621 26606 27242 53212 54484 64507 66515 68105 106424 108968 129014 133030 136210 258028 266060 272420 322535 516056 532120 544840 645070 1290140 2580280 3418871 6837742 13675484 17094355 27350968 34188710 68377420 136754840