145539072000 has 1152 divisors, whose sum is σ = 628136570880. Its totient is φ = 32558284800.

The previous prime is 145539071969. The next prime is 145539072023. The reversal of 145539072000 is 270935541.

145539072000 is a `hidden beast` number, since 14 + 55 + 390 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3096575977 + ... + 3096576023.

It is an arithmetic number, because the mean of its divisors is an integer number (545257440).

Almost surely, 2^145539072000 is an apocalyptic number.

145539072000 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 145539072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314068285440).

145539072000 is an abundant number, since it is smaller than the sum of its proper divisors (482597498880).

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

145539072000 is an frugal number, since it uses more digits than its factorization.

145539072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 145539072000 in words is "one hundred forty-five billion, five hundred thirty-nine million, seventy-two thousand".