145161520 has 120 divisors (see below), whose sum is σ = 413478000. Its totient is φ = 47126016.

The previous prime is 145161491. The next prime is 145161553. The reversal of 145161520 is 25161541.

145161520 = T₂₄ + T₂₅ + ... + T₉₅₄.

It is a happy number.

145161520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 73506 + ... + 75454.

It is an arithmetic number, because the mean of its divisors is an integer number (3445650).

Almost surely, 2^145161520 is an apocalyptic number.

145161520 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 145161520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206739000).

145161520 is an abundant number, since it is smaller than the sum of its proper divisors (268316480).

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

145161520 is a wasteful number, since it uses less digits than its factorization.

145161520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 145161520 is about 12048.2994650697. The cubic root of 145161520 is about 525.5537860146.

The spelling of 145161520 in words is "one hundred forty-five million, one hundred sixty-one thousand, five hundred twenty".