145679731551360 has 192 divisors, whose sum is σ = 505007722397880. Its totient is φ = 38696768765952.

The previous prime is 145679731551349. The next prime is 145679731551391. The reversal of 145679731551360 is 63155137976541.

145679731551360 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 7 + 9 + 73 + 1 + 551 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137349211673664 + 8330519877696 = 11719608^2 + 2886264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47725167 + ... + 50685806.

Almost surely, 2^{145679731551360} is an apocalyptic number.

145679731551360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145679731551360 is an abundant number, since it is smaller than the sum of its proper divisors (359327990846520).

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

145679731551360 is a wasteful number, since it uses less digits than its factorization.

145679731551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98411255 (or 98411240 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 145679731551360 in words is "one hundred forty-five trillion, six hundred seventy-nine billion, seven hundred thirty-one million, five hundred fifty-one thousand, three hundred sixty".