145162560 has 112 divisors (see below), whose sum is σ = 466344000. Its totient is φ = 38252544.

The previous prime is 145162547. The next prime is 145162561. The reversal of 145162560 is 65261541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145162561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84591 + ... + 86289.

Almost surely, 2^145162560 is an apocalyptic number.

145162560 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 145162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233172000).

145162560 is an abundant number, since it is smaller than the sum of its proper divisors (321181440).

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

145162560 is a wasteful number, since it uses less digits than its factorization.

145162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 145162560 is about 12048.3426246102. The cubic root of 145162560 is about 525.5550411099. Note that the first 3 decimals are identical.

The spelling of 145162560 in words is "one hundred forty-five million, one hundred sixty-two thousand, five hundred sixty".