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136553680 = 2453746133
BaseRepresentation
bin10000010001110…
…10010011010000
3100111221122102201
420020322103100
5234424204210
621314452544
73245454454
oct1010722320
9314848381
10136553680
117009888a
1239894154
13223a17c3
14141c8664
15bec553a
hex823a4d0

136553680 has 40 divisors (see below), whose sum is σ = 326075112. Its totient is φ = 53144064.

The previous prime is 136553647. The next prime is 136553687. The reversal of 136553680 is 86355631.

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 93624976 = 6552^2 + 9676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136553687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20107 + ... + 26026.

Almost surely, 2136553680 is an apocalyptic number.

136553680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136553680 is an abundant number, since it is smaller than the sum of its proper divisors (189521432).

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

136553680 is a wasteful number, since it uses less digits than its factorization.

136553680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46183 (or 46177 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 136553680 is about 11685.6185116578. The cubic root of 136553680 is about 514.9532492831.

The spelling of 136553680 in words is "one hundred thirty-six million, five hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 46133 92266 184532 230665 369064 461330 738128 922660 1706921 1845320 3413842 3690640 6827684 8534605 13655368 17069210 27310736 34138420 68276840 136553680