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136542480 = 24351394093
BaseRepresentation
bin10000010001101…
…11100100010000
3100111221002001220
420020313210100
5234423324410
621314325040
73245410014
oct1010674420
9314832056
10136542480
1170090428
1239889780
1322399689
14141c4544
15bec2070
hex8237910

136542480 has 80 divisors (see below), whose sum is σ = 426431040. Its totient is φ = 36140544.

The previous prime is 136542437. The next prime is 136542491. The reversal of 136542480 is 84245631.

It is a tau number, because it is divible by the number of its divisors (80).

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, 31314 + ... + 35406.

It is an arithmetic number, because the mean of its divisors is an integer number (5330388).

Almost surely, 2136542480 is an apocalyptic number.

136542480 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 136542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213215520).

136542480 is an abundant number, since it is smaller than the sum of its proper divisors (289888560).

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

136542480 is a wasteful number, since it uses less digits than its factorization.

136542480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 136542480 is about 11685.1392802996. The cubic root of 136542480 is about 514.9391702433.

The spelling of 136542480 in words is "one hundred thirty-six million, five hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4093 4170 5560 6672 8186 8340 11120 12279 16372 16680 20465 24558 32744 33360 40930 49116 61395 65488 81860 98232 122790 163720 196464 245580 327440 491160 568927 982320 1137854 1706781 2275708 2844635 3413562 4551416 5689270 6827124 8533905 9102832 11378540 13654248 17067810 22757080 27308496 34135620 45514160 68271240 136542480