152140034001450 has 192 divisors, whose sum is σ = 422881244582400. Its totient is φ = 35872981920000.

The previous prime is 152140034001427. The next prime is 152140034001463. The reversal of 152140034001450 is 54100430041251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173616501 + ... + 174490599.

It is an arithmetic number, because the mean of its divisors is an integer number (2202506482200).

Almost surely, 2^{152140034001450} is an apocalyptic number.

152140034001450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152140034001450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211440622291200).

152140034001450 is an abundant number, since it is smaller than the sum of its proper divisors (270741210580950).

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

152140034001450 is a wasteful number, since it uses less digits than its factorization.

152140034001450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877013 (or 877008 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 152140034001450 in words is "one hundred fifty-two trillion, one hundred forty billion, thirty-four million, one thousand, four hundred fifty".