145530540 has 192 divisors, whose sum is σ = 487710720. Its totient is φ = 35896320.

The previous prime is 145530493. The next prime is 145530551. The reversal of 145530540 is 45035541.

145530540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761845 + ... + 762035.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^145530540 is an apocalyptic number.

145530540 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 145530540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

145530540 is an abundant number, since it is smaller than the sum of its proper divisors (342180180).

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

145530540 is a wasteful number, since it uses less digits than its factorization.

145530540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 145530540 is about 12063.6039391220. The cubic root of 145530540 is about 525.9987518464.

It can be divided in two parts, 145530 and 540, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 145530540 in words is "one hundred forty-five million, five hundred thirty thousand, five hundred forty".