147086150400 has 1296 divisors, whose sum is σ = 636580089600. Its totient is φ = 32905543680.

The previous prime is 147086150389. The next prime is 147086150401. The reversal of 147086150400 is 4051680741.

It is a happy number.

147086150400 is a `hidden beast` number, since 1 + 4 + 70 + 86 + 1 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×147086150400³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147086150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 642297486 + ... + 642297714.

Almost surely, 2^147086150400 is an apocalyptic number.

147086150400 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 147086150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318290044800).

147086150400 is an abundant number, since it is smaller than the sum of its proper divisors (489493939200).

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

147086150400 is an equidigital number, since it uses as much as digits as its factorization.

147086150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 147086150400 in words is "one hundred forty-seven billion, eighty-six million, one hundred fifty thousand, four hundred".