145992339000 has 192 divisors, whose sum is σ = 514909362240. Its totient is φ = 37238572800.

The previous prime is 145992338963. The next prime is 145992339047. The reversal of 145992339000 is 933299541.

145992339000 is a `hidden beast` number, since 1 + 4 + 599 + 23 + 39 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145639 + ... + 559638.

It is an arithmetic number, because the mean of its divisors is an integer number (2681819595).

Almost surely, 2^145992339000 is an apocalyptic number.

145992339000 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 145992339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257454681120).

145992339000 is an abundant number, since it is smaller than the sum of its proper divisors (368917023240).

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

145992339000 is a wasteful number, since it uses less digits than its factorization.

145992339000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705327 (or 705310 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 145992339000 in words is "one hundred forty-five billion, nine hundred ninety-two million, three hundred thirty-nine thousand".