145379456640 has 512 divisors, whose sum is σ = 565067923200. Its totient is φ = 35031859200.

The previous prime is 145379456627. The next prime is 145379456657. The reversal of 145379456640 is 46654973541.

It is a happy number.

145379456640 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 79 + 4 + 566 + 4 + 0 = 666.

It is a super-2 number, since 2×145379456640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 32881630 + ... + 32886050.

Almost surely, 2^145379456640 is an apocalyptic number.

145379456640 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 145379456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282533961600).

145379456640 is an abundant number, since it is smaller than the sum of its proper divisors (419688466560).

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

145379456640 is a wasteful number, since it uses less digits than its factorization.

145379456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 145379456640 in words is "one hundred forty-five billion, three hundred seventy-nine million, four hundred fifty-six thousand, six hundred forty".