145579146240 has 1056 divisors, whose sum is σ = 551210264640. Its totient is φ = 32699842560.

The previous prime is 145579146217. The next prime is 145579146287. The reversal of 145579146240 is 42641975541.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×145579146240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 145579146240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1994234844 + ... + 1994234916.

Almost surely, 2^145579146240 is an apocalyptic number.

145579146240 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 145579146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275605132320).

145579146240 is an abundant number, since it is smaller than the sum of its proper divisors (405631118400).

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

145579146240 is a wasteful number, since it uses less digits than its factorization.

145579146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 145579146240 in words is "one hundred forty-five billion, five hundred seventy-nine million, one hundred forty-six thousand, two hundred forty".