145247760 has 360 divisors, whose sum is σ = 595408320. Its totient is φ = 31578624.

The previous prime is 145247701. The next prime is 145247777. The reversal of 145247760 is 67742541.

145247760 is a `hidden beast` number, since 1 + 4 + 524 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 811351 + ... + 811529.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^145247760 is an apocalyptic number.

145247760 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 145247760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297704160).

145247760 is an abundant number, since it is smaller than the sum of its proper divisors (450160560).

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

145247760 is a wasteful number, since it uses less digits than its factorization.

145247760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 145247760 is about 12051.8778619765. The cubic root of 145247760 is about 525.6578420250.

The spelling of 145247760 in words is "one hundred forty-five million, two hundred forty-seven thousand, seven hundred sixty".