145511341920 has 1920 divisors, whose sum is σ = 663896217600. Its totient is φ = 29262643200.

The previous prime is 145511341889. The next prime is 145511341973. The reversal of 145511341920 is 29143115541.

145511341920 is a `hidden beast` number, since 1 + 4 + 551 + 13 + 4 + 1 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2049455485 + ... + 2049455555.

It is an arithmetic number, because the mean of its divisors is an integer number (345779280).

Almost surely, 2^145511341920 is an apocalyptic number.

145511341920 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 145511341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331948108800).

145511341920 is an abundant number, since it is smaller than the sum of its proper divisors (518384875680).

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

145511341920 is a wasteful number, since it uses less digits than its factorization.

145511341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 145511341920 in words is "one hundred forty-five billion, five hundred eleven million, three hundred forty-one thousand, nine hundred twenty".