145969151328000 has 12096 divisors, whose sum is σ = 800978817300480. Its totient is φ = 25960144896000.

The previous prime is 145969151327999. The next prime is 145969151328059. The reversal of 145969151328000 is 823151969541.

145969151328000 is a `hidden beast` number, since 1 + 4 + 596 + 9 + 15 + 1 + 32 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (12096).

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 1343 ways as a sum of consecutive naturals, for example, 3105726623977 + ... + 3105726624023.

It is an arithmetic number, because the mean of its divisors is an integer number (66218486880).

Almost surely, 2^{145969151328000} is an apocalyptic number.

145969151328000 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 145969151328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400489408650240).

145969151328000 is an abundant number, since it is smaller than the sum of its proper divisors (655009665972480).

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

145969151328000 is a wasteful number, since it uses less digits than its factorization.

145969151328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 145969151328000 in words is "one hundred forty-five trillion, nine hundred sixty-nine billion, one hundred fifty-one million, three hundred twenty-eight thousand".