145155780 has 192 divisors, whose sum is σ = 563189760. Its totient is φ = 30153600.

The previous prime is 145155779. The next prime is 145155781. The reversal of 145155780 is 87551541.

145155780 is a `hidden beast` number, since 14 + 515 + 57 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (145155779) and next prime (145155781).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (145155781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39835 + ... + 43325.

It is an arithmetic number, because the mean of its divisors is an integer number (2933280).

Almost surely, 2^145155780 is an apocalyptic number.

145155780 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 145155780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281594880).

145155780 is an abundant number, since it is smaller than the sum of its proper divisors (418033980).

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

145155780 is a wasteful number, since it uses less digits than its factorization.

145155780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 145155780 is about 12048.0612548244. The cubic root of 145155780 is about 525.5468587461.

The spelling of 145155780 in words is "one hundred forty-five million, one hundred fifty-five thousand, seven hundred eighty".