145817098560 has 224 divisors, whose sum is σ = 587897752320. Its totient is φ = 33329608704.

The previous prime is 145817098547. The next prime is 145817098627. The reversal of 145817098560 is 65890718541.

It is a happy number.

145817098560 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 1 + 70 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 145817098497 and 145817098506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1145019 + ... + 1265978.

Almost surely, 2^145817098560 is an apocalyptic number.

145817098560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145817098560 is an abundant number, since it is smaller than the sum of its proper divisors (442080653760).

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

145817098560 is a wasteful number, since it uses less digits than its factorization.

145817098560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411030 (or 2411014 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

It can be divided in two parts, 1458170 and 98560, that added together give a triangular number (1556730 = T₁₇₆₄).

The spelling of 145817098560 in words is "one hundred forty-five billion, eight hundred seventeen million, ninety-eight thousand, five hundred sixty".