145739411509248 has 1664 divisors, whose sum is σ = 495504912384000. Its totient is φ = 42084697374720.

The previous prime is 145739411509213. The next prime is 145739411509253. The reversal of 145739411509248 is 842905114937541.

145739411509248 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 3 + 94 + 11 + 509 + 24 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133338893790 + ... + 133338894882.

Almost surely, 2^{145739411509248} is an apocalyptic number.

145739411509248 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 145739411509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247752456192000).

145739411509248 is an abundant number, since it is smaller than the sum of its proper divisors (349765500874752).

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

145739411509248 is a wasteful number, since it uses less digits than its factorization.

145739411509248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 145739411509248 in words is "one hundred forty-five trillion, seven hundred thirty-nine billion, four hundred eleven million, five hundred nine thousand, two hundred forty-eight".