145827515520 has 192 divisors, whose sum is σ = 503763099840. Its totient is φ = 38871705600.

The previous prime is 145827515507. The next prime is 145827515557. The reversal of 145827515520 is 25515728541.

It is a happy number.

145827515520 is a `hidden beast` number, since 1 + 4 + 5 + 82 + 7 + 515 + 52 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 24920595 + ... + 24926445.

It is an arithmetic number, because the mean of its divisors is an integer number (2623766145).

Almost surely, 2^145827515520 is an apocalyptic number.

145827515520 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 145827515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251881549920).

145827515520 is an abundant number, since it is smaller than the sum of its proper divisors (357935584320).

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

145827515520 is a wasteful number, since it uses less digits than its factorization.

145827515520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10203 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 560000, while the sum is 45.

The spelling of 145827515520 in words is "one hundred forty-five billion, eight hundred twenty-seven million, five hundred fifteen thousand, five hundred twenty".