1054138752 has 64 divisors (see below), whose sum is σ = 3111183600. Its totient is φ = 351378432.

The previous prime is 1054138747. The next prime is 1054138759. The reversal of 1054138752 is 2578314501.

1054138752 is a `hidden beast` number, since 10 + 541 + 38 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1054138752² = 2222417016936235008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054138759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149053 + ... + 155964.

Almost surely, 2^1054138752 is an apocalyptic number.

1054138752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054138752 is an abundant number, since it is smaller than the sum of its proper divisors (2057044848).

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

1054138752 is an equidigital number, since it uses as much as digits as its factorization.

1054138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305040 (or 305022 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1054138752 is about 32467.5030145529. The cubic root of 1054138752 is about 1017.7300385615.

The spelling of 1054138752 in words is "one billion, fifty-four million, one hundred thirty-eight thousand, seven hundred fifty-two".