78133545 has 64 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 35278848.

The previous prime is 78133519. The next prime is 78133571. The reversal of 78133545 is 54533187.

78133545 is a `hidden beast` number, since 7 + 81 + 33 + 545 = 666.

It is an interprime number because it is at equal distance from previous prime (78133519) and next prime (78133571).

It is not a de Polignac number, because 78133545 - 2⁶ = 78133481 is a prime.

It is a super-2 number, since 2×78133545² = 12209701708534050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83641 + ... + 84569.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^78133545 is an apocalyptic number.

It is an amenable number.

78133545 is an abundant number, since it is smaller than the sum of its proper divisors (82570455).

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

78133545 is a wasteful number, since it uses less digits than its factorization.

78133545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 78133545 is about 8839.3181298107. The cubic root of 78133545 is about 427.5095719617.

The spelling of 78133545 in words is "seventy-eight million, one hundred thirty-three thousand, five hundred forty-five".