145952377920 has 168 divisors, whose sum is σ = 502938556224. Its totient is φ = 38849061888.

The previous prime is 145952377891. The next prime is 145952377933. The reversal of 145952377920 is 29773259541.

145952377920 is a `hidden beast` number, since 1 + 4 + 595 + 23 + 7 + 7 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 1529037 + ... + 1621683.

Almost surely, 2^145952377920 is an apocalyptic number.

145952377920 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 145952377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251469278112).

145952377920 is an abundant number, since it is smaller than the sum of its proper divisors (356986178304).

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

145952377920 is a wasteful number, since it uses less digits than its factorization.

145952377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93217 (or 93204 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 145952377920 in words is "one hundred forty-five billion, nine hundred fifty-two million, three hundred seventy-seven thousand, nine hundred twenty".