151035494400 has 720 divisors, whose sum is σ = 634494945280. Its totient is φ = 34504704000.

The previous prime is 151035494387. The next prime is 151035494419. The reversal of 151035494400 is 4494530151.

It is a happy number.

151035494400 is a `hidden beast` number, since 1 + 5 + 103 + 549 + 4 + 4 + 0 + 0 = 666.

151035494400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77413425 + ... + 77415375.

Almost surely, 2^151035494400 is an apocalyptic number.

151035494400 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 151035494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317247472640).

151035494400 is an abundant number, since it is smaller than the sum of its proper divisors (483459450880).

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

151035494400 is an equidigital number, since it uses as much as digits as its factorization.

151035494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 151035494400 in words is "one hundred fifty-one billion, thirty-five million, four hundred ninety-four thousand, four hundred".