150340174748400 has 1440 divisors, whose sum is σ = 632073559369728. Its totient is φ = 30238413004800.

The previous prime is 150340174748399. The next prime is 150340174748417. The reversal of 150340174748400 is 4847471043051.

It is a happy number.

150340174748400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 150340174748400.

It is a congruent number.

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, 1587611454 + ... + 1587706146.

Almost surely, 2^{150340174748400} is an apocalyptic number.

150340174748400 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 150340174748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316036779684864).

150340174748400 is an abundant number, since it is smaller than the sum of its proper divisors (481733384621328).

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

150340174748400 is a wasteful number, since it uses less digits than its factorization.

150340174748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94839 (or 94821 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 150340174748400 in words is "one hundred fifty trillion, three hundred forty billion, one hundred seventy-four million, seven hundred forty-eight thousand, four hundred".