147240140400 has 360 divisors, whose sum is σ = 525530538000. Its totient is φ = 38159953920.

The previous prime is 147240140371. The next prime is 147240140407. The reversal of 147240140400 is 4041042741.

147240140400 is a `hidden beast` number, since 1 + 4 + 7 + 240 + 14 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147240140407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18899706 + ... + 18907494.

It is an arithmetic number, because the mean of its divisors is an integer number (1459807050).

Almost surely, 2^147240140400 is an apocalyptic number.

147240140400 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 147240140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262765269000).

147240140400 is an abundant number, since it is smaller than the sum of its proper divisors (378290397600).

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

147240140400 is a wasteful number, since it uses less digits than its factorization.

147240140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7947 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 147240140400 in words is "one hundred forty-seven billion, two hundred forty million, one hundred forty thousand, four hundred".