145506570 has 128 divisors (see below), whose sum is σ = 414865152. Its totient is φ = 32256000.

The previous prime is 145506551. The next prime is 145506589. The reversal of 145506570 is 75605541.

145506570 = 488² + 489² + ... + 820².

It is an interprime number because it is at equal distance from previous prime (145506551) and next prime (145506589).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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, 207220 + ... + 207920.

It is an arithmetic number, because the mean of its divisors is an integer number (3241134).

Almost surely, 2^145506570 is an apocalyptic number.

145506570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145506570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207432576).

145506570 is an abundant number, since it is smaller than the sum of its proper divisors (269358582).

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

145506570 is a wasteful number, since it uses less digits than its factorization.

145506570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 145506570 is about 12062.6104140024. The cubic root of 145506570 is about 525.9698715798.

The spelling of 145506570 in words is "one hundred forty-five million, five hundred six thousand, five hundred seventy".