1575142940 has 96 divisors (see below), whose sum is σ = 3993561600. Its totient is φ = 509794560.

The previous prime is 1575142889. The next prime is 1575142957. The reversal of 1575142940 is 492415751.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1575142894 and 1575142903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879566 + ... + 881354.

It is an arithmetic number, because the mean of its divisors is an integer number (41599600).

Almost surely, 2^1575142940 is an apocalyptic number.

1575142940 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 1575142940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996780800).

1575142940 is an abundant number, since it is smaller than the sum of its proper divisors (2418418660).

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

1575142940 is a wasteful number, since it uses less digits than its factorization.

1575142940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 1575142940 is about 39688.0704998366. The cubic root of 1575142940 is about 1163.5185821876.

The spelling of 1575142940 in words is "one billion, five hundred seventy-five million, one hundred forty-two thousand, nine hundred forty".