152077046000 has 80 divisors (see below), whose sum is σ = 401151655008. Its totient is φ = 55300736000.

The previous prime is 152077045997. The next prime is 152077046029. The reversal of 152077046000 is 640770251.

152077046000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×152077046000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3434297 + ... + 3478296.

Almost surely, 2^152077046000 is an apocalyptic number.

152077046000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152077046000 is an abundant number, since it is smaller than the sum of its proper divisors (249074609008).

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

152077046000 is a wasteful number, since it uses less digits than its factorization.

152077046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6912627 (or 6912611 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 152077046000 in words is "one hundred fifty-two billion, seventy-seven million, forty-six thousand".