150913905753600 has 5760 divisors, whose sum is σ = 673448946508800. Its totient is φ = 32972341248000.

The previous prime is 150913905753599. The next prime is 150913905753601. The reversal of 150913905753600 is 6357509319051.

150913905753600 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 1 + 3 + 9 + 0 + 575 + 3 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (150913905753599) and next prime (150913905753601).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150913905753601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1695661862356 + ... + 1695661862444.

It is an arithmetic number, because the mean of its divisors is an integer number (116918219880).

Almost surely, 2^{150913905753600} is an apocalyptic number.

150913905753600 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 150913905753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336724473254400).

150913905753600 is an abundant number, since it is smaller than the sum of its proper divisors (522535040755200).

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

150913905753600 is a wasteful number, since it uses less digits than its factorization.

150913905753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 54.

The spelling of 150913905753600 in words is "one hundred fifty trillion, nine hundred thirteen billion, nine hundred five million, seven hundred fifty-three thousand, six hundred".