145937990016 has 576 divisors, whose sum is σ = 549169901280. Its totient is φ = 36217552896.

The previous prime is 145937989987. The next prime is 145937990057. The reversal of 145937990016 is 610099739541.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30294040 + ... + 30298856.

Almost surely, 2^145937990016 is an apocalyptic number.

145937990016 is a gapful number since it is divisible by the number (16) 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 145937990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274584950640).

145937990016 is an abundant number, since it is smaller than the sum of its proper divisors (403231911264).

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

145937990016 is a wasteful number, since it uses less digits than its factorization.

145937990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4891 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 145937990016 in words is "one hundred forty-five billion, nine hundred thirty-seven million, nine hundred ninety thousand, sixteen".