145990333440 has 1584 divisors, whose sum is σ = 642163878720. Its totient is φ = 30470307840.

The previous prime is 145990333403. The next prime is 145990333453. The reversal of 145990333440 is 44333099541.

It is a happy number.

145990333440 is a `hidden beast` number, since 14 + 599 + 0 + 3 + 3 + 3 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1758919639 + ... + 1758919721.

Almost surely, 2^145990333440 is an apocalyptic number.

145990333440 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 145990333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321081939360).

145990333440 is an abundant number, since it is smaller than the sum of its proper divisors (496173545280).

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

145990333440 is a wasteful number, since it uses less digits than its factorization.

145990333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 145990333440 in words is "one hundred forty-five billion, nine hundred ninety million, three hundred thirty-three thousand, four hundred forty".