145016640 has 168 divisors, whose sum is σ = 510832608. Its totient is φ = 37739520.

The previous prime is 145016593. The next prime is 145016717. The reversal of 145016640 is 46610541.

145016640 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 16 + 640 = 666.

145016640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123255 + ... + 124425.

Almost surely, 2^145016640 is an apocalyptic number.

145016640 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 145016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255416304).

145016640 is an abundant number, since it is smaller than the sum of its proper divisors (365815968).

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

145016640 is a wasteful number, since it uses less digits than its factorization.

145016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145016640 is about 12042.2854973630. The cubic root of 145016640 is about 525.3788829639.

The spelling of 145016640 in words is "one hundred forty-five million, sixteen thousand, six hundred forty".