145815120 has 480 divisors, whose sum is σ = 612282240. Its totient is φ = 31518720.

The previous prime is 145815097. The next prime is 145815121. The reversal of 145815120 is 21518541.

145815120 is a `hidden beast` number, since 14 + 581 + 51 + 20 = 666.

It is a super-2 number, since 2×145815120² = 42524098441228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145815121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7674471 + ... + 7674489.

It is an arithmetic number, because the mean of its divisors is an integer number (1275588).

Almost surely, 2^145815120 is an apocalyptic number.

145815120 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 145815120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306141120).

145815120 is an abundant number, since it is smaller than the sum of its proper divisors (466467120).

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

145815120 is a wasteful number, since it uses less digits than its factorization.

145815120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 145815120 is about 12075.3931613012. The cubic root of 145815120 is about 526.3413861376.

It can be divided in two parts, 14581 and 5120, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 145815120 in words is "one hundred forty-five million, eight hundred fifteen thousand, one hundred twenty".