150453777745440 has 1920 divisors, whose sum is σ = 615977663938560. Its totient is φ = 34253201866752.

The previous prime is 150453777745433. The next prime is 150453777745463. The reversal of 150453777745440 is 44547777354051.

150453777745440 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 5 + 3 + 77 + 77 + 454 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 117633914721 + ... + 117633915999.

It is an arithmetic number, because the mean of its divisors is an integer number (320821699968).

Almost surely, 2^{150453777745440} is an apocalyptic number.

150453777745440 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 150453777745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307988831969280).

150453777745440 is an abundant number, since it is smaller than the sum of its proper divisors (465523886193120).

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

150453777745440 is a wasteful number, since it uses less digits than its factorization.

150453777745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 230496000, while the sum is 63.

The spelling of 150453777745440 in words is "one hundred fifty trillion, four hundred fifty-three billion, seven hundred seventy-seven million, seven hundred forty-five thousand, four hundred forty".