152742670105200 has 240 divisors, whose sum is σ = 559202503749120. Its totient is φ = 34911432668160.

The previous prime is 152742670105121. The next prime is 152742670105379. The reversal of 152742670105200 is 2501076247251.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262099741 + ... + 262681859.

It is an arithmetic number, because the mean of its divisors is an integer number (2330010432288).

Almost surely, 2^{152742670105200} is an apocalyptic number.

152742670105200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152742670105200 is an abundant number, since it is smaller than the sum of its proper divisors (406459833643920).

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

152742670105200 is a wasteful number, since it uses less digits than its factorization.

152742670105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613384 (or 613373 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 152742670105200 in words is "one hundred fifty-two trillion, seven hundred forty-two billion, six hundred seventy million, one hundred five thousand, two hundred".