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136914300 = 22345216903
BaseRepresentation
bin10000010100100…
…10010101111100
3100112121222010000
420022102111330
5240022224200
621330314300
73251516025
oct1012222574
9315558100
10136914300
1170314816
1239a28990
13224999a3
141427dc4c
15c047300
hex829257c

136914300 has 90 divisors (see below), whose sum is σ = 443848328. Its totient is φ = 36508320.

The previous prime is 136914289. The next prime is 136914353. The reversal of 136914300 is 3419631.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 352 + ... + 16551.

Almost surely, 2136914300 is an apocalyptic number.

136914300 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 136914300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221924164).

136914300 is an abundant number, since it is smaller than the sum of its proper divisors (306934028).

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

136914300 is a wasteful number, since it uses less digits than its factorization.

136914300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16929 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 136914300 is about 11701.0384154570. The cubic root of 136914300 is about 515.4061583720.

The spelling of 136914300 in words is "one hundred thirty-six million, nine hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 16903 33806 50709 67612 84515 101418 152127 169030 202836 253545 304254 338060 422575 456381 507090 608508 760635 845150 912762 1014180 1267725 1369143 1521270 1690300 1825524 2281905 2535450 2738286 3042540 3803175 4563810 5070900 5476572 6845715 7606350 9127620 11409525 13691430 15212700 22819050 27382860 34228575 45638100 68457150 136914300