1975134720 has 320 divisors, whose sum is σ = 6918557184. Its totient is φ = 477757440.

The previous prime is 1975134719. The next prime is 1975134727. The reversal of 1975134720 is 274315791.

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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1975134727) 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 31 ways as a sum of consecutive naturals, for example, 7288185 + ... + 7288455.

Almost surely, 2^1975134720 is an apocalyptic number.

1975134720 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 1975134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459278592).

1975134720 is an abundant number, since it is smaller than the sum of its proper divisors (4943422464).

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

1975134720 is a wasteful number, since it uses less digits than its factorization.

1975134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 1975134720 is about 44442.4877791512. The cubic root of 1975134720 is about 1254.6778790537.

The spelling of 1975134720 in words is "one billion, nine hundred seventy-five million, one hundred thirty-four thousand, seven hundred twenty".