145578346069500 has 576 divisors, whose sum is σ = 473817499803648. Its totient is φ = 37607980800000.

The previous prime is 145578346069493. The next prime is 145578346069531. The reversal of 145578346069500 is 5960643875541.

It is a happy number.

145578346069500 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 7 + 8 + 3 + 4 + 60 + 69 + 500 = 666.

It is a super-2 number, since 2×145578346069500² (a number of 29 digits) contains 22 as substring.

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, 11110299949 + ... + 11110313051.

It is an arithmetic number, because the mean of its divisors is an integer number (822599826048).

Almost surely, 2^{145578346069500} is an apocalyptic number.

145578346069500 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 145578346069500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236908749901824).

145578346069500 is an abundant number, since it is smaller than the sum of its proper divisors (328239153734148).

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

145578346069500 is a wasteful number, since it uses less digits than its factorization.

145578346069500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13707 (or 13692 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 145578346069500 in words is "one hundred forty-five trillion, five hundred seventy-eight billion, three hundred forty-six million, sixty-nine thousand, five hundred".