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136132400 = 24522314797
BaseRepresentation
bin10000001110100…
…11011100110000
3100111011020112202
420013103130300
5234322214100
621301442332
73242051315
oct1007233460
9314136482
10136132400
116a930318
12397103a8
1322284b21
1414118d0c
15be407d5
hex81d3730

136132400 has 60 divisors (see below), whose sum is σ = 341301072. Its totient is φ = 52081920.

The previous prime is 136132393. The next prime is 136132429. The reversal of 136132400 is 4231631.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1802 + ... + 16598.

Almost surely, 2136132400 is an apocalyptic number.

136132400 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 136132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170650536).

136132400 is an abundant number, since it is smaller than the sum of its proper divisors (205168672).

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

136132400 is a wasteful number, since it uses less digits than its factorization.

136132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14838 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 136132400 is about 11667.5790119459. The cubic root of 136132400 is about 514.4231452233.

The spelling of 136132400 in words is "one hundred thirty-six million, one hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 14797 29594 59188 73985 118376 147970 236752 295940 340331 369925 591880 680662 739850 1183760 1361324 1479700 1701655 2722648 2959400 3403310 5445296 5918800 6806620 8508275 13613240 17016550 27226480 34033100 68066200 136132400