145374480 has 320 divisors, whose sum is σ = 549607680. Its totient is φ = 35168256.

The previous prime is 145374461. The next prime is 145374511. The reversal of 145374480 is 84473541.

145374480 is a `hidden beast` number, since 1 + 4 + 537 + 44 + 80 = 666.

It is a super-2 number, since 2×145374480² = 42267478870540800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1358587 + ... + 1358693.

It is an arithmetic number, because the mean of its divisors is an integer number (1717524).

Almost surely, 2^145374480 is an apocalyptic number.

145374480 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 145374480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274803840).

145374480 is an abundant number, since it is smaller than the sum of its proper divisors (404233200).

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

145374480 is a wasteful number, since it uses less digits than its factorization.

145374480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 145374480 is about 12057.1339878099. The cubic root of 145374480 is about 525.8106659530.

The spelling of 145374480 in words is "one hundred forty-five million, three hundred seventy-four thousand, four hundred eighty".