147051901440 has 320 divisors, whose sum is σ = 549837129600. Its totient is φ = 37149622272.

The previous prime is 147051901439. The next prime is 147051901453. The reversal of 147051901440 is 44109150741.

147051901440 is a `hidden beast` number, since 1 + 470 + 51 + 90 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 147051901395 and 147051901404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257294 + ... + 1369266.

It is an arithmetic number, because the mean of its divisors is an integer number (1718241030).

Almost surely, 2^147051901440 is an apocalyptic number.

147051901440 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 147051901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274918564800).

147051901440 is an abundant number, since it is smaller than the sum of its proper divisors (402785228160).

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

147051901440 is a wasteful number, since it uses less digits than its factorization.

147051901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112024 (or 112002 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 147051901440 in words is "one hundred forty-seven billion, fifty-one million, nine hundred one thousand, four hundred forty".