145963762560 has 1792 divisors, whose sum is σ = 693532108800. Its totient is φ = 28426567680.

The previous prime is 145963762559. The next prime is 145963762573. The reversal of 145963762560 is 65267369541.

145963762560 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 6 + 3 + 7 + 625 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145963762497 and 145963762506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 610726921 + ... + 610727159.

Almost surely, 2^145963762560 is an apocalyptic number.

145963762560 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 145963762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346766054400).

145963762560 is an abundant number, since it is smaller than the sum of its proper divisors (547568346240).

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

145963762560 is a wasteful number, since it uses less digits than its factorization.

145963762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 145963762560 in words is "one hundred forty-five billion, nine hundred sixty-three million, seven hundred sixty-two thousand, five hundred sixty".