145801679400 has 384 divisors, whose sum is σ = 569307312000. Its totient is φ = 34000404480.

The previous prime is 145801679383. The next prime is 145801679431. The reversal of 145801679400 is 4976108541.

145801679400 is a `hidden beast` number, since 1 + 4 + 5 + 80 + 167 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1279144 + ... + 1388456.

It is an arithmetic number, because the mean of its divisors is an integer number (1482571125).

Almost surely, 2^145801679400 is an apocalyptic number.

145801679400 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 145801679400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284653656000).

145801679400 is an abundant number, since it is smaller than the sum of its proper divisors (423505632600).

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

145801679400 is a wasteful number, since it uses less digits than its factorization.

145801679400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109370 (or 109355 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 145801679400 in words is "one hundred forty-five billion, eight hundred one million, six hundred seventy-nine thousand, four hundred".