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133936740 = 22355731127
BaseRepresentation
bin1111111101110…
…11011001100100
3100100000200200000
413332323121210
5233241433430
621142421300
73214305060
oct776733144
9310020600
10133936740
1169670723
1238a31830
1321996612
1413b06aa0
15bb59e60
hex7fbb664

133936740 has 288 divisors, whose sum is σ = 500957184. Its totient is φ = 29393280.

The previous prime is 133936739. The next prime is 133936763. The reversal of 133936740 is 47639331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133936695 and 133936704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1054557 + ... + 1054683.

Almost surely, 2133936740 is an apocalyptic number.

133936740 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 133936740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250478592).

133936740 is an abundant number, since it is smaller than the sum of its proper divisors (367020444).

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

133936740 is a wasteful number, since it uses less digits than its factorization.

133936740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 133936740 is about 11573.1041643977. The cubic root of 133936740 is about 511.6424556562.

The spelling of 133936740 in words is "one hundred thirty-three million, nine hundred thirty-six thousand, seven hundred forty".