151145035392 has 128 divisors (see below), whose sum is σ = 432522236160. Its totient is φ = 46488932352.

The previous prime is 151145035339. The next prime is 151145035441. The reversal of 151145035392 is 293530541151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 151145035392.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22545513 + ... + 22552215.

It is an arithmetic number, because the mean of its divisors is an integer number (3379079970).

Almost surely, 2^151145035392 is an apocalyptic number.

151145035392 is a gapful number since it is divisible by the number (12) 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 151145035392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216261118080).

151145035392 is an abundant number, since it is smaller than the sum of its proper divisors (281377200768).

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

151145035392 is a wasteful number, since it uses less digits than its factorization.

151145035392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11250 (or 11238 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The spelling of 151145035392 in words is "one hundred fifty-one billion, one hundred forty-five million, thirty-five thousand, three hundred ninety-two".