145902960 has 120 divisors (see below), whose sum is σ = 560008800. Its totient is φ = 33348096.

The previous prime is 145902949. The next prime is 145902971. The reversal of 145902960 is 69209541.

145902960 is a `hidden beast` number, since 1 + 4 + 590 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (145902949) and next prime (145902971).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×145902960³ (a number of 25 digits) contains 333 as substring.

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, 9435 + ... + 19514.

It is an arithmetic number, because the mean of its divisors is an integer number (4666740).

Almost surely, 2^145902960 is an apocalyptic number.

145902960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145902960 is an abundant number, since it is smaller than the sum of its proper divisors (414105840).

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

145902960 is a wasteful number, since it uses less digits than its factorization.

145902960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28975 (or 28966 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 145902960 is about 12079.0297623609. The cubic root of 145902960 is about 526.4470554413.

The spelling of 145902960 in words is "one hundred forty-five million, nine hundred two thousand, nine hundred sixty".