145957392504 has 768 divisors, whose sum is σ = 545956761600. Its totient is φ = 35663846400.

The previous prime is 145957392481. The next prime is 145957392517. The reversal of 145957392504 is 405293759541.

145957392504 is a `hidden beast` number, since 1 + 4 + 59 + 57 + 39 + 2 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 133537782 + ... + 133538874.

It is an arithmetic number, because the mean of its divisors is an integer number (710881200).

Almost surely, 2^145957392504 is an apocalyptic number.

145957392504 is a gapful number since it is divisible by the number (14) 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 145957392504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272978380800).

145957392504 is an abundant number, since it is smaller than the sum of its proper divisors (399999369096).

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

145957392504 is a wasteful number, since it uses less digits than its factorization.

145957392504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 145957392504 in words is "one hundred forty-five billion, nine hundred fifty-seven million, three hundred ninety-two thousand, five hundred four".