151453670400 has 330 divisors, whose sum is σ = 560822812880. Its totient is φ = 40387092480.

The previous prime is 151453670387. The next prime is 151453670437. The reversal of 151453670400 is 4076354151.

151453670400 is a `hidden beast` number, since 1 + 5 + 14 + 536 + 70 + 40 + 0 = 666.

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 29 ways as a sum of consecutive naturals, for example, 2037081 + ... + 2110119.

Almost surely, 2^151453670400 is an apocalyptic number.

151453670400 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 151453670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280411406440).

151453670400 is an abundant number, since it is smaller than the sum of its proper divisors (409369142480).

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

151453670400 is an equidigital number, since it uses as much as digits as its factorization.

151453670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73081 (or 73049 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 151453670400 in words is "one hundred fifty-one billion, four hundred fifty-three million, six hundred seventy thousand, four hundred".