145512640 has 224 divisors, whose sum is σ = 450616320. Its totient is φ = 43462656.

The previous prime is 145512623. The next prime is 145512641. The reversal of 145512640 is 46215541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 145512599 and 145512608.

It is not an unprimeable number, because it can be changed into a prime (145512641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553149 + ... + 553411.

It is an arithmetic number, because the mean of its divisors is an integer number (2011680).

Almost surely, 2^145512640 is an apocalyptic number.

145512640 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 145512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

145512640 is an abundant number, since it is smaller than the sum of its proper divisors (305103680).

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

145512640 is a wasteful number, since it uses less digits than its factorization.

145512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 145512640 is about 12062.8620152931. The cubic root of 145512640 is about 525.9771853222.

The spelling of 145512640 in words is "one hundred forty-five million, five hundred twelve thousand, six hundred forty".