145833349536 has 96 divisors (see below), whose sum is σ = 486111185280. Its totient is φ = 41666669568.

The previous prime is 145833349489. The next prime is 145833349547. The reversal of 145833349536 is 635943338541.

145833349536 is a `hidden beast` number, since 1 + 4 + 583 + 3 + 3 + 4 + 9 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12050281 + ... + 12062376.

It is an arithmetic number, because the mean of its divisors is an integer number (5063658180).

Almost surely, 2^145833349536 is an apocalyptic number.

145833349536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145833349536 is an abundant number, since it is smaller than the sum of its proper divisors (340277835744).

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

145833349536 is a wasteful number, since it uses less digits than its factorization.

145833349536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24112683 (or 24112669 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 145833349536 in words is "one hundred forty-five billion, eight hundred thirty-three million, three hundred forty-nine thousand, five hundred thirty-six".