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136977900 = 22352563811
BaseRepresentation
bin10000010101000…
…01110111101100
3100112202012100120
420022201313230
5240031243100
621331524540
73252202323
oct1012416754
9315665316
10136977900
1170358584
1239a59750
13224bc917
14142990ba
15c05b0a0
hex82a1dec

136977900 has 72 divisors (see below), whose sum is σ = 397516224. Its totient is φ = 36417600.

The previous prime is 136977899. The next prime is 136977913. The reversal of 136977900 is 9779631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168495 + ... + 169305.

Almost surely, 2136977900 is an apocalyptic number.

136977900 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 136977900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198758112).

136977900 is an abundant number, since it is smaller than the sum of its proper divisors (260538324).

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

136977900 is a wasteful number, since it uses less digits than its factorization.

136977900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 136977900 is about 11703.7558074321. The cubic root of 136977900 is about 515.4859522219.

The spelling of 136977900 in words is "one hundred thirty-six million, nine hundred seventy-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 563 811 1126 1622 1689 2252 2433 2815 3244 3378 4055 4866 5630 6756 8110 8445 9732 11260 12165 14075 16220 16890 20275 24330 28150 33780 40550 42225 48660 56300 60825 81100 84450 121650 168900 243300 456593 913186 1369779 1826372 2282965 2739558 4565930 5479116 6848895 9131860 11414825 13697790 22829650 27395580 34244475 45659300 68488950 136977900