145732795488 has 192 divisors, whose sum is σ = 487510410240. Its totient is φ = 41489280000.

The previous prime is 145732795471. The next prime is 145732795531. The reversal of 145732795488 is 884597237541.

145732795488 is a `hidden beast` number, since 1 + 4 + 57 + 32 + 7 + 9 + 548 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1656613 + ... + 1742363.

It is an arithmetic number, because the mean of its divisors is an integer number (2539116720).

Almost surely, 2^145732795488 is an apocalyptic number.

145732795488 is a gapful number since it is divisible by the number (18) 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 145732795488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243755205120).

145732795488 is an abundant number, since it is smaller than the sum of its proper divisors (341777614752).

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

145732795488 is a wasteful number, since it uses less digits than its factorization.

145732795488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86058 (or 86044 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 145732795488 in words is "one hundred forty-five billion, seven hundred thirty-two million, seven hundred ninety-five thousand, four hundred eighty-eight".