145854720 has 216 divisors, whose sum is σ = 550996992. Its totient is φ = 35328000.

The previous prime is 145854719. The next prime is 145854757. The reversal of 145854720 is 27458541.

145854720 is a `hidden beast` number, since 1 + 4 + 585 + 4 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 126145 + ... + 127295.

It is an arithmetic number, because the mean of its divisors is an integer number (2550912).

Almost surely, 2^145854720 is an apocalyptic number.

145854720 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 145854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275498496).

145854720 is an abundant number, since it is smaller than the sum of its proper divisors (405142272).

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

145854720 is a wasteful number, since it uses less digits than its factorization.

145854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 145854720 is about 12077.0327481547. The cubic root of 145854720 is about 526.3890291903.

The spelling of 145854720 in words is "one hundred forty-five million, eight hundred fifty-four thousand, seven hundred twenty".