145533540 has 72 divisors (see below), whose sum is σ = 430133760. Its totient is φ = 36760896.

The previous prime is 145533539. The next prime is 145533547. The reversal of 145533540 is 45335541.

It is a super-2 number, since 2×145533540² = 42360022529863200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 145533498 and 145533507.

It is not an unprimeable number, because it can be changed into a prime (145533547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18301 + ... + 25019.

It is an arithmetic number, because the mean of its divisors is an integer number (5974080).

Almost surely, 2^145533540 is an apocalyptic number.

145533540 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 145533540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

145533540 is an abundant number, since it is smaller than the sum of its proper divisors (284600220).

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

145533540 is a wasteful number, since it uses less digits than its factorization.

145533540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 145533540 is about 12063.7282794334. The cubic root of 145533540 is about 526.0023661746.

The spelling of 145533540 in words is "one hundred forty-five million, five hundred thirty-three thousand, five hundred forty".