1007135316 has 384 divisors, whose sum is σ = 3251404800. Its totient is φ = 266112000.

The previous prime is 1007135281. The next prime is 1007135321. The reversal of 1007135316 is 6135317001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1007135316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24564256 + ... + 24564296.

It is an arithmetic number, because the mean of its divisors is an integer number (8467200).

Almost surely, 2^1007135316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007135316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625702400).

1007135316 is an abundant number, since it is smaller than the sum of its proper divisors (2244269484).

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

1007135316 is a wasteful number, since it uses less digits than its factorization.

1007135316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1007135316 is about 31735.3953181617. The cubic root of 1007135316 is about 1002.3728040147.

The spelling of 1007135316 in words is "one billion, seven million, one hundred thirty-five thousand, three hundred sixteen".