145151061254100 has 216 divisors, whose sum is σ = 517908166880832. Its totient is φ = 33658217049600.

The previous prime is 145151061254099. The next prime is 145151061254113. The reversal of 145151061254100 is 1452160151541.

145151061254100 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 5 + 106 + 1 + 2 + 541 + 0 + 0 = 666.

145151061254100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 318505417 + ... + 318960816.

Almost surely, 2^{145151061254100} is an apocalyptic number.

145151061254100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145151061254100 is an abundant number, since it is smaller than the sum of its proper divisors (372757105626732).

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

145151061254100 is a wasteful number, since it uses less digits than its factorization.

145151061254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637466287 (or 637466277 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 145151061254100 in words is "one hundred forty-five trillion, one hundred fifty-one billion, sixty-one million, two hundred fifty-four thousand, one hundred".