1007149152 has 24 divisors (see below), whose sum is σ = 2643766776. Its totient is φ = 335716352.

The previous prime is 1007149151. The next prime is 1007149183. The reversal of 1007149152 is 2519417001.

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007149151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5245473 + ... + 5245664.

It is an arithmetic number, because the mean of its divisors is an integer number (110156949).

Almost surely, 2^1007149152 is an apocalyptic number.

1007149152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1007149152 is an abundant number, since it is smaller than the sum of its proper divisors (1636617624).

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

1007149152 is a wasteful number, since it uses less digits than its factorization.

1007149152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10491150 (or 10491142 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 1007149152 is about 31735.6133074500. The cubic root of 1007149152 is about 1002.3773941845.

The spelling of 1007149152 in words is "one billion, seven million, one hundred forty-nine thousand, one hundred fifty-two".