145634952576 has 192 divisors, whose sum is σ = 420782558400. Its totient is φ = 44504294400.

The previous prime is 145634952553. The next prime is 145634952583. The reversal of 145634952576 is 675259436541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7001071 + ... + 7021841.

It is an arithmetic number, because the mean of its divisors is an integer number (2191575825).

Almost surely, 2^145634952576 is an apocalyptic number.

145634952576 is a gapful number since it is divisible by the number (16) 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 145634952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210391279200).

145634952576 is an abundant number, since it is smaller than the sum of its proper divisors (275147605824).

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

145634952576 is a wasteful number, since it uses less digits than its factorization.

145634952576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20869 (or 20826 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 57.

The spelling of 145634952576 in words is "one hundred forty-five billion, six hundred thirty-four million, nine hundred fifty-two thousand, five hundred seventy-six".