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136377680 = 24531127433
BaseRepresentation
bin10000010000011…
…11010101010000
3100111121201000012
420020033111100
5234403041210
621311014052
73244122365
oct1010172520
9314551005
10136377680
116aa8862a
123980a328
132233c66a
141418046c
15be8d305
hex820f550

136377680 has 80 divisors (see below), whose sum is σ = 330645504. Its totient is φ = 52254720.

The previous prime is 136377677. The next prime is 136377697. The reversal of 136377680 is 86773631.

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, 314744 + ... + 315176.

Almost surely, 2136377680 is an apocalyptic number.

136377680 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 136377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165322752).

136377680 is an abundant number, since it is smaller than the sum of its proper divisors (194267824).

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

136377680 is a wasteful number, since it uses less digits than its factorization.

136377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 136377680 is about 11678.0854595263. The cubic root of 136377680 is about 514.7319181618.

The spelling of 136377680 in words is "one hundred thirty-six million, three hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 127 155 248 254 310 433 496 508 620 635 866 1016 1240 1270 1732 2032 2165 2480 2540 3464 3937 4330 5080 6928 7874 8660 10160 13423 15748 17320 19685 26846 31496 34640 39370 53692 54991 62992 67115 78740 107384 109982 134230 157480 214768 219964 268460 274955 314960 439928 536920 549910 879856 1073840 1099820 1704721 2199640 3409442 4399280 6818884 8523605 13637768 17047210 27275536 34094420 68188840 136377680