153067742000 has 160 divisors (see below), whose sum is σ = 393234117120. Its totient is φ = 57517286400.

The previous prime is 153067741979. The next prime is 153067742021. The reversal of 153067742000 is 247760351.

It is an interprime number because it is at equal distance from previous prime (153067741979) and next prime (153067742021).

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, 2110337 + ... + 2181663.

It is an arithmetic number, because the mean of its divisors is an integer number (2457713232).

Almost surely, 2^153067742000 is an apocalyptic number.

153067742000 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 153067742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196617058560).

153067742000 is an abundant number, since it is smaller than the sum of its proper divisors (240166375120).

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

153067742000 is a wasteful number, since it uses less digits than its factorization.

153067742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71416 (or 71400 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 153067742000 in words is "one hundred fifty-three billion, sixty-seven million, seven hundred forty-two thousand".