133745926320 has 480 divisors, whose sum is σ = 491145707520. Its totient is φ = 32491653120.

The previous prime is 133745926277. The next prime is 133745926331. The reversal of 133745926320 is 23629547331.

133745926320 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 4 + 5 + 9 + 2 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73364929 + ... + 73366751.

It is an arithmetic number, because the mean of its divisors is an integer number (1023220224).

Almost surely, 2^133745926320 is an apocalyptic number.

133745926320 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 133745926320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245572853760).

133745926320 is an abundant number, since it is smaller than the sum of its proper divisors (357399781200).

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

133745926320 is a wasteful number, since it uses less digits than its factorization.

133745926320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 133745926320 in words is "one hundred thirty-three billion, seven hundred forty-five million, nine hundred twenty-six thousand, three hundred twenty".