146151492960 has 384 divisors, whose sum is σ = 541572272640. Its totient is φ = 32746291200.

The previous prime is 146151492911. The next prime is 146151492961. The reversal of 146151492960 is 69294151641.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146151492961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4095354 + ... + 4130886.

It is an arithmetic number, because the mean of its divisors is an integer number (1410344460).

Almost surely, 2^146151492960 is an apocalyptic number.

146151492960 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 146151492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270786136320).

146151492960 is an abundant number, since it is smaller than the sum of its proper divisors (395420779680).

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

146151492960 is a wasteful number, since it uses less digits than its factorization.

146151492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35622 (or 35614 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 146151492960 in words is "one hundred forty-six billion, one hundred fifty-one million, four hundred ninety-two thousand, nine hundred sixty".