147151355904 has 576 divisors, whose sum is σ = 524463498000. Its totient is φ = 39504052224.

The previous prime is 147151355903. The next prime is 147151355909. The reversal of 147151355904 is 409553151741.

147151355904 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 51 + 3 + 5 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 147151355904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147151355903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 245661397 + ... + 245661995.

Almost surely, 2^147151355904 is an apocalyptic number.

147151355904 is a gapful number since it is divisible by the number (14) 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 147151355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262231749000).

147151355904 is an abundant number, since it is smaller than the sum of its proper divisors (377312142096).

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

147151355904 is an equidigital number, since it uses as much as digits as its factorization.

147151355904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 147151355904 in words is "one hundred forty-seven billion, one hundred fifty-one million, three hundred fifty-five thousand, nine hundred four".