150486245740800 has 2592 divisors, whose sum is σ = 628000887870720. Its totient is φ = 34101264384000.

The previous prime is 150486245740763. The next prime is 150486245740843. The reversal of 150486245740800 is 8047542684051.

150486245740800 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 8 + 62 + 4 + 574 + 0 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×150486245740800² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 171592069962 + ... + 171592070838.

It is an arithmetic number, because the mean of its divisors is an integer number (242284293160).

Almost surely, 2^{150486245740800} is an apocalyptic number.

150486245740800 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 150486245740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314000443935360).

150486245740800 is an abundant number, since it is smaller than the sum of its proper divisors (477514642129920).

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

150486245740800 is a wasteful number, since it uses less digits than its factorization.

150486245740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 150486245740800 in words is "one hundred fifty trillion, four hundred eighty-six billion, two hundred forty-five million, seven hundred forty thousand, eight hundred".